Representations of algebras and related topics /:
Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY, USA :
Cambridge University Press,
1992.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
168. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find that this volume contains interesting and stimulating contributions to the development of the subject. |
| Beschreibung: | Based on lectures from the Tsukuba International Conference on Representations of Algebras and Related Topics, held in Kyoto, Japan, 1990. |
| Beschreibung: | 1 online resource (ix, 291 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781461938255 1461938252 9780511661853 0511661851 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn856017220 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130819s1992 enka ob 000 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d IDEBK |d E7B |d CAMBR |d OCLCO |d OCLCF |d YDXCP |d OCL |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d AGLDB |d OCLCQ |d UAB |d OCLCQ |d VTS |d REC |d STF |d AU@ |d M8D |d UKAHL |d OCLCQ |d OCL |d INARC |d AJS |d OCLCQ |d OCLCO |d SFB |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
| 020 | |a 9781461938255 |q (electronic bk.) | ||
| 020 | |a 1461938252 |q (electronic bk.) | ||
| 020 | |a 9780511661853 |q (electronic bk.) | ||
| 020 | |a 0511661851 |q (electronic bk.) | ||
| 020 | |z 0521424119 | ||
| 020 | |z 9780521424110 | ||
| 035 | |a (OCoLC)856017220 | ||
| 050 | 4 | |a QA155 |b .R366 1992eb | |
| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
| 082 | 7 | |a 512/.72 |2 22 | |
| 084 | |a 31.20 |2 bcl | ||
| 084 | |a *00B25 |2 msc | ||
| 084 | |a 16-06 |2 msc | ||
| 084 | |a 16Gxx |2 msc | ||
| 049 | |a MAIN | ||
| 245 | 0 | 0 | |a Representations of algebras and related topics / |c edited by H. Tachikawa, S. Brenner. |
| 260 | |a Cambridge ; |a New York, NY, USA : |b Cambridge University Press, |c 1992. | ||
| 300 | |a 1 online resource (ix, 291 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 168 | |
| 500 | |a Based on lectures from the Tsukuba International Conference on Representations of Algebras and Related Topics, held in Kyoto, Japan, 1990. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find that this volume contains interesting and stimulating contributions to the development of the subject. | ||
| 505 | 0 | |a Cover; Series Page; Title; Copyright; Contents; INTRODUCTION; Homologically finite subcategories; 1 Homologically finite subcategories and adjoint functors; 2 Connections with preprojective partitions; 3 Extension closed categories; 4 Contravariantly finite subcategories and tilting theory; References; Countable Generatedness Version of Rings of Pure Global Dimension Zero; INTRODUCTION; 1. PURITY AND FINITELY PRESENTED MODULES; 2. PURE-INJECTIVE MODULES AND ALGEBRAIC COMPACTNESS; 3. FINITE MATRIX SUBGROUPS AND E-PURE INJECTIVITY; 4. RINGS OF PURE GLOBAL DIMENSION ZERO; REFERENCES | |
| 505 | 8 | |a Projective Resolutions and Degree Shifting for Cohomology and Group Rings1. Introduction; 2. Homology of Koszul complexes; 3. Cohomology, varieties and complexity; 4. Tate cohomology, duality and rates of growth; 5. Marking the degree shift; 6. Variations on the theme, induction and some examples; 7. The index and quasi-regular sequences; 8. Contravariantly finite subcategories; References; MODULES OF FINITE LENGTH OVER THEIR ENDOMORPHISM RINGS; 1 THE FUNCTOR CATEGORY; 2 INJECTIVE ENVELOPES OF SIMPLE FUNCTORS; E-PURE-INJECTIVE MODULES; 4 MODULES OF FINITE ENDOLENGTH; 5 CHARACTERS; 6 DUALITY | |
| 505 | 8 | |a 7 GENERIC MODULES8 HEREDITARY ALGEBRAS; 9 LIFT CATEGORIES; REFERENCES; Pairs of semi-simple algebras (Hereditary algebras with radical-square zero); 1. A few remarks on finite dimensional associative algebras; (i) Morita equivalence; (ii) K-species and (valued) graphs; (iii) Tensor algebras; (iv) Hereditary algebras; (v) Coxeter functors, Coxeter transformations; 2. Pairs A<Band the algebra A(A, B); 3. Jones fundamental construction of a tower and its index; 4. Some examples; REFERENCES; The Module Theoretical Approach to Quasi-hereditary Algebras; 1. Definition of a quasi-hereditary algebra | |
| 505 | 8 | |a 2. Some properties of quasi-hereditary algebras3. Standardization; 4. Standard modules of small projective dimension; 5. Quasi-hereditary algebras with many projective-injective modules; 6. The preprojective algebra of type An; 7. The Auslander algebra of k[T]/(Tn); Acknowledgement; References; Matrix problems, small reduction and representations of a class of mixed Lie groups; 1 Mackey Theorem. An Example; 2 Dynkin Algebras; 3 Main Theorem. Reduction to a matrix problem; 4 Representations of bocses; 5 Small reduction; 6 Proof of the main theorem; Appendix: An example; References | |
| 505 | 8 | |a CLASSIFICATION PROBLEMS FOR MODULAR GROUP REPRESENTATIONS1. Introduction; 2. On the stable Auslander-Reiten quiver of blocks; 3. An approach to classification problems; 4. Ends of components and projective modules; 5. Tame type, results and some questions; 6. Blocks; 7. Wild type; References; Lie Algebras: Arising in Representation Theory; 1. The Comultiplication; 2. Bialgebras; 3. Hall algebras; 4. Subbialgebras; References | |
| 650 | 0 | |a Representations of algebras |v Congresses. | |
| 650 | 6 | |a Représentations des algèbres |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Representations of algebras |2 fast | |
| 650 | 7 | |a Algèbre. |2 ram | |
| 650 | 7 | |a Représentations d'algèbre. |2 ram | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Tachikawa, Hiroyuki, |d 1930- |1 https://id.oclc.org/worldcat/entity/E39PCjvPtxY3VqHpKVRHqmF64y |0 http://id.loc.gov/authorities/names/n91063341 | |
| 700 | 1 | |a Brenner, S. |q (Sheila) |1 https://id.oclc.org/worldcat/entity/E39PCjqrYhTDBR9By93RbbX3DC |0 http://id.loc.gov/authorities/names/n93032336 | |
| 776 | 0 | 8 | |i Print version: |t Representations of algebras and related topics. |d Cambridge ; New York, NY, USA : Cambridge University Press, 1992 |z 0521424119 |w (DLC) 93132203 |w (OCoLC)26381597 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 168. |0 http://id.loc.gov/authorities/names/n42015587 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=616986 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25470789 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH26385326 | ||
| 938 | |a ebrary |b EBRY |n ebr10746240 | ||
| 938 | |a EBSCOhost |b EBSC |n 616986 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis26084555 | ||
| 938 | |a Internet Archive |b INAR |n representationso0000unse | ||
| 938 | |a YBP Library Services |b YANK |n 11063896 | ||
| 938 | |a YBP Library Services |b YANK |n 11078500 | ||
| 938 | |a YBP Library Services |b YANK |n 11083289 | ||
| 938 | |a YBP Library Services |b YANK |n 11338529 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn856017220 |
|---|---|
| _version_ | 1816882241785036800 |
| adam_text | |
| any_adam_object | |
| author2 | Tachikawa, Hiroyuki, 1930- Brenner, S. (Sheila) |
| author2_role | |
| author2_variant | h t ht s b sb |
| author_GND | http://id.loc.gov/authorities/names/n91063341 http://id.loc.gov/authorities/names/n93032336 |
| author_facet | Tachikawa, Hiroyuki, 1930- Brenner, S. (Sheila) |
| author_sort | Tachikawa, Hiroyuki, 1930- |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA155 |
| callnumber-raw | QA155 .R366 1992eb |
| callnumber-search | QA155 .R366 1992eb |
| callnumber-sort | QA 3155 R366 41992EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Series Page; Title; Copyright; Contents; INTRODUCTION; Homologically finite subcategories; 1 Homologically finite subcategories and adjoint functors; 2 Connections with preprojective partitions; 3 Extension closed categories; 4 Contravariantly finite subcategories and tilting theory; References; Countable Generatedness Version of Rings of Pure Global Dimension Zero; INTRODUCTION; 1. PURITY AND FINITELY PRESENTED MODULES; 2. PURE-INJECTIVE MODULES AND ALGEBRAIC COMPACTNESS; 3. FINITE MATRIX SUBGROUPS AND E-PURE INJECTIVITY; 4. RINGS OF PURE GLOBAL DIMENSION ZERO; REFERENCES Projective Resolutions and Degree Shifting for Cohomology and Group Rings1. Introduction; 2. Homology of Koszul complexes; 3. Cohomology, varieties and complexity; 4. Tate cohomology, duality and rates of growth; 5. Marking the degree shift; 6. Variations on the theme, induction and some examples; 7. The index and quasi-regular sequences; 8. Contravariantly finite subcategories; References; MODULES OF FINITE LENGTH OVER THEIR ENDOMORPHISM RINGS; 1 THE FUNCTOR CATEGORY; 2 INJECTIVE ENVELOPES OF SIMPLE FUNCTORS; E-PURE-INJECTIVE MODULES; 4 MODULES OF FINITE ENDOLENGTH; 5 CHARACTERS; 6 DUALITY 7 GENERIC MODULES8 HEREDITARY ALGEBRAS; 9 LIFT CATEGORIES; REFERENCES; Pairs of semi-simple algebras (Hereditary algebras with radical-square zero); 1. A few remarks on finite dimensional associative algebras; (i) Morita equivalence; (ii) K-species and (valued) graphs; (iii) Tensor algebras; (iv) Hereditary algebras; (v) Coxeter functors, Coxeter transformations; 2. Pairs A<Band the algebra A(A, B); 3. Jones fundamental construction of a tower and its index; 4. Some examples; REFERENCES; The Module Theoretical Approach to Quasi-hereditary Algebras; 1. Definition of a quasi-hereditary algebra 2. Some properties of quasi-hereditary algebras3. Standardization; 4. Standard modules of small projective dimension; 5. Quasi-hereditary algebras with many projective-injective modules; 6. The preprojective algebra of type An; 7. The Auslander algebra of k[T]/(Tn); Acknowledgement; References; Matrix problems, small reduction and representations of a class of mixed Lie groups; 1 Mackey Theorem. An Example; 2 Dynkin Algebras; 3 Main Theorem. Reduction to a matrix problem; 4 Representations of bocses; 5 Small reduction; 6 Proof of the main theorem; Appendix: An example; References CLASSIFICATION PROBLEMS FOR MODULAR GROUP REPRESENTATIONS1. Introduction; 2. On the stable Auslander-Reiten quiver of blocks; 3. An approach to classification problems; 4. Ends of components and projective modules; 5. Tame type, results and some questions; 6. Blocks; 7. Wild type; References; Lie Algebras: Arising in Representation Theory; 1. The Comultiplication; 2. Bialgebras; 3. Hall algebras; 4. Subbialgebras; References |
| ctrlnum | (OCoLC)856017220 |
| dewey-full | 512/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.72 |
| dewey-search | 512/.72 |
| dewey-sort | 3512 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06644cam a2200757 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn856017220</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">130819s1992 enka ob 000 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">IDEBK</subfield><subfield code="d">E7B</subfield><subfield code="d">CAMBR</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCF</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UAB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">REC</subfield><subfield code="d">STF</subfield><subfield code="d">AU@</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCL</subfield><subfield code="d">INARC</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461938255</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1461938252</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511661853</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511661851</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521424119</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521424110</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)856017220</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA155</subfield><subfield code="b">.R366 1992eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">002040</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">512/.72</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.20</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">*00B25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16-06</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16Gxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Representations of algebras and related topics /</subfield><subfield code="c">edited by H. Tachikawa, S. Brenner.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge ;</subfield><subfield code="a">New York, NY, USA :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">1992.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 291 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">168</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Based on lectures from the Tsukuba International Conference on Representations of Algebras and Related Topics, held in Kyoto, Japan, 1990.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find that this volume contains interesting and stimulating contributions to the development of the subject.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover; Series Page; Title; Copyright; Contents; INTRODUCTION; Homologically finite subcategories; 1 Homologically finite subcategories and adjoint functors; 2 Connections with preprojective partitions; 3 Extension closed categories; 4 Contravariantly finite subcategories and tilting theory; References; Countable Generatedness Version of Rings of Pure Global Dimension Zero; INTRODUCTION; 1. PURITY AND FINITELY PRESENTED MODULES; 2. PURE-INJECTIVE MODULES AND ALGEBRAIC COMPACTNESS; 3. FINITE MATRIX SUBGROUPS AND E-PURE INJECTIVITY; 4. RINGS OF PURE GLOBAL DIMENSION ZERO; REFERENCES</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Projective Resolutions and Degree Shifting for Cohomology and Group Rings1. Introduction; 2. Homology of Koszul complexes; 3. Cohomology, varieties and complexity; 4. Tate cohomology, duality and rates of growth; 5. Marking the degree shift; 6. Variations on the theme, induction and some examples; 7. The index and quasi-regular sequences; 8. Contravariantly finite subcategories; References; MODULES OF FINITE LENGTH OVER THEIR ENDOMORPHISM RINGS; 1 THE FUNCTOR CATEGORY; 2 INJECTIVE ENVELOPES OF SIMPLE FUNCTORS; E-PURE-INJECTIVE MODULES; 4 MODULES OF FINITE ENDOLENGTH; 5 CHARACTERS; 6 DUALITY</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">7 GENERIC MODULES8 HEREDITARY ALGEBRAS; 9 LIFT CATEGORIES; REFERENCES; Pairs of semi-simple algebras (Hereditary algebras with radical-square zero); 1. A few remarks on finite dimensional associative algebras; (i) Morita equivalence; (ii) K-species and (valued) graphs; (iii) Tensor algebras; (iv) Hereditary algebras; (v) Coxeter functors, Coxeter transformations; 2. Pairs A<Band the algebra A(A, B); 3. Jones fundamental construction of a tower and its index; 4. Some examples; REFERENCES; The Module Theoretical Approach to Quasi-hereditary Algebras; 1. Definition of a quasi-hereditary algebra</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">2. Some properties of quasi-hereditary algebras3. Standardization; 4. Standard modules of small projective dimension; 5. Quasi-hereditary algebras with many projective-injective modules; 6. The preprojective algebra of type An; 7. The Auslander algebra of k[T]/(Tn); Acknowledgement; References; Matrix problems, small reduction and representations of a class of mixed Lie groups; 1 Mackey Theorem. An Example; 2 Dynkin Algebras; 3 Main Theorem. Reduction to a matrix problem; 4 Representations of bocses; 5 Small reduction; 6 Proof of the main theorem; Appendix: An example; References</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">CLASSIFICATION PROBLEMS FOR MODULAR GROUP REPRESENTATIONS1. Introduction; 2. On the stable Auslander-Reiten quiver of blocks; 3. An approach to classification problems; 4. Ends of components and projective modules; 5. Tame type, results and some questions; 6. Blocks; 7. Wild type; References; Lie Algebras: Arising in Representation Theory; 1. The Comultiplication; 2. Bialgebras; 3. Hall algebras; 4. Subbialgebras; References</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Representations of algebras</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Représentations des algèbres</subfield><subfield code="v">Congrès.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Algebra</subfield><subfield code="x">Intermediate.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Representations of algebras</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algèbre.</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Représentations d'algèbre.</subfield><subfield code="2">ram</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Conference papers and proceedings</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tachikawa, Hiroyuki,</subfield><subfield code="d">1930-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjvPtxY3VqHpKVRHqmF64y</subfield><subfield code="0">http://id.loc.gov/authorities/names/n91063341</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brenner, S.</subfield><subfield code="q">(Sheila)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjqrYhTDBR9By93RbbX3DC</subfield><subfield code="0">http://id.loc.gov/authorities/names/n93032336</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="t">Representations of algebras and related topics.</subfield><subfield code="d">Cambridge ; New York, NY, USA : Cambridge University Press, 1992</subfield><subfield code="z">0521424119</subfield><subfield code="w">(DLC) 93132203</subfield><subfield code="w">(OCoLC)26381597</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society lecture note series ;</subfield><subfield code="v">168.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n42015587</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=616986</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH25470789</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH26385326</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10746240</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">616986</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis26084555</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">representationso0000unse</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11063896</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11078500</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11083289</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11338529</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn856017220 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:29Z |
| institution | BVB |
| isbn | 9781461938255 1461938252 9780511661853 0511661851 |
| language | English |
| oclc_num | 856017220 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 291 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Representations of algebras and related topics / edited by H. Tachikawa, S. Brenner. Cambridge ; New York, NY, USA : Cambridge University Press, 1992. 1 online resource (ix, 291 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 168 Based on lectures from the Tsukuba International Conference on Representations of Algebras and Related Topics, held in Kyoto, Japan, 1990. Includes bibliographical references. Print version record. Prior to the International Congress of 1990 in Japan, a workshop on algebra was held which included some of the best known figures in this field. Many of the expository surveys given at this workshop by distinguished mathematicians are included here. Researchers into representation theory will find that this volume contains interesting and stimulating contributions to the development of the subject. Cover; Series Page; Title; Copyright; Contents; INTRODUCTION; Homologically finite subcategories; 1 Homologically finite subcategories and adjoint functors; 2 Connections with preprojective partitions; 3 Extension closed categories; 4 Contravariantly finite subcategories and tilting theory; References; Countable Generatedness Version of Rings of Pure Global Dimension Zero; INTRODUCTION; 1. PURITY AND FINITELY PRESENTED MODULES; 2. PURE-INJECTIVE MODULES AND ALGEBRAIC COMPACTNESS; 3. FINITE MATRIX SUBGROUPS AND E-PURE INJECTIVITY; 4. RINGS OF PURE GLOBAL DIMENSION ZERO; REFERENCES Projective Resolutions and Degree Shifting for Cohomology and Group Rings1. Introduction; 2. Homology of Koszul complexes; 3. Cohomology, varieties and complexity; 4. Tate cohomology, duality and rates of growth; 5. Marking the degree shift; 6. Variations on the theme, induction and some examples; 7. The index and quasi-regular sequences; 8. Contravariantly finite subcategories; References; MODULES OF FINITE LENGTH OVER THEIR ENDOMORPHISM RINGS; 1 THE FUNCTOR CATEGORY; 2 INJECTIVE ENVELOPES OF SIMPLE FUNCTORS; E-PURE-INJECTIVE MODULES; 4 MODULES OF FINITE ENDOLENGTH; 5 CHARACTERS; 6 DUALITY 7 GENERIC MODULES8 HEREDITARY ALGEBRAS; 9 LIFT CATEGORIES; REFERENCES; Pairs of semi-simple algebras (Hereditary algebras with radical-square zero); 1. A few remarks on finite dimensional associative algebras; (i) Morita equivalence; (ii) K-species and (valued) graphs; (iii) Tensor algebras; (iv) Hereditary algebras; (v) Coxeter functors, Coxeter transformations; 2. Pairs A<Band the algebra A(A, B); 3. Jones fundamental construction of a tower and its index; 4. Some examples; REFERENCES; The Module Theoretical Approach to Quasi-hereditary Algebras; 1. Definition of a quasi-hereditary algebra 2. Some properties of quasi-hereditary algebras3. Standardization; 4. Standard modules of small projective dimension; 5. Quasi-hereditary algebras with many projective-injective modules; 6. The preprojective algebra of type An; 7. The Auslander algebra of k[T]/(Tn); Acknowledgement; References; Matrix problems, small reduction and representations of a class of mixed Lie groups; 1 Mackey Theorem. An Example; 2 Dynkin Algebras; 3 Main Theorem. Reduction to a matrix problem; 4 Representations of bocses; 5 Small reduction; 6 Proof of the main theorem; Appendix: An example; References CLASSIFICATION PROBLEMS FOR MODULAR GROUP REPRESENTATIONS1. Introduction; 2. On the stable Auslander-Reiten quiver of blocks; 3. An approach to classification problems; 4. Ends of components and projective modules; 5. Tame type, results and some questions; 6. Blocks; 7. Wild type; References; Lie Algebras: Arising in Representation Theory; 1. The Comultiplication; 2. Bialgebras; 3. Hall algebras; 4. Subbialgebras; References Representations of algebras Congresses. Représentations des algèbres Congrès. MATHEMATICS Algebra Intermediate. bisacsh Representations of algebras fast Algèbre. ram Représentations d'algèbre. ram Conference papers and proceedings fast Tachikawa, Hiroyuki, 1930- https://id.oclc.org/worldcat/entity/E39PCjvPtxY3VqHpKVRHqmF64y http://id.loc.gov/authorities/names/n91063341 Brenner, S. (Sheila) https://id.oclc.org/worldcat/entity/E39PCjqrYhTDBR9By93RbbX3DC http://id.loc.gov/authorities/names/n93032336 Print version: Representations of algebras and related topics. Cambridge ; New York, NY, USA : Cambridge University Press, 1992 0521424119 (DLC) 93132203 (OCoLC)26381597 London Mathematical Society lecture note series ; 168. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=616986 Volltext |
| spellingShingle | Representations of algebras and related topics / London Mathematical Society lecture note series ; Cover; Series Page; Title; Copyright; Contents; INTRODUCTION; Homologically finite subcategories; 1 Homologically finite subcategories and adjoint functors; 2 Connections with preprojective partitions; 3 Extension closed categories; 4 Contravariantly finite subcategories and tilting theory; References; Countable Generatedness Version of Rings of Pure Global Dimension Zero; INTRODUCTION; 1. PURITY AND FINITELY PRESENTED MODULES; 2. PURE-INJECTIVE MODULES AND ALGEBRAIC COMPACTNESS; 3. FINITE MATRIX SUBGROUPS AND E-PURE INJECTIVITY; 4. RINGS OF PURE GLOBAL DIMENSION ZERO; REFERENCES Projective Resolutions and Degree Shifting for Cohomology and Group Rings1. Introduction; 2. Homology of Koszul complexes; 3. Cohomology, varieties and complexity; 4. Tate cohomology, duality and rates of growth; 5. Marking the degree shift; 6. Variations on the theme, induction and some examples; 7. The index and quasi-regular sequences; 8. Contravariantly finite subcategories; References; MODULES OF FINITE LENGTH OVER THEIR ENDOMORPHISM RINGS; 1 THE FUNCTOR CATEGORY; 2 INJECTIVE ENVELOPES OF SIMPLE FUNCTORS; E-PURE-INJECTIVE MODULES; 4 MODULES OF FINITE ENDOLENGTH; 5 CHARACTERS; 6 DUALITY 7 GENERIC MODULES8 HEREDITARY ALGEBRAS; 9 LIFT CATEGORIES; REFERENCES; Pairs of semi-simple algebras (Hereditary algebras with radical-square zero); 1. A few remarks on finite dimensional associative algebras; (i) Morita equivalence; (ii) K-species and (valued) graphs; (iii) Tensor algebras; (iv) Hereditary algebras; (v) Coxeter functors, Coxeter transformations; 2. Pairs A<Band the algebra A(A, B); 3. Jones fundamental construction of a tower and its index; 4. Some examples; REFERENCES; The Module Theoretical Approach to Quasi-hereditary Algebras; 1. Definition of a quasi-hereditary algebra 2. Some properties of quasi-hereditary algebras3. Standardization; 4. Standard modules of small projective dimension; 5. Quasi-hereditary algebras with many projective-injective modules; 6. The preprojective algebra of type An; 7. The Auslander algebra of k[T]/(Tn); Acknowledgement; References; Matrix problems, small reduction and representations of a class of mixed Lie groups; 1 Mackey Theorem. An Example; 2 Dynkin Algebras; 3 Main Theorem. Reduction to a matrix problem; 4 Representations of bocses; 5 Small reduction; 6 Proof of the main theorem; Appendix: An example; References CLASSIFICATION PROBLEMS FOR MODULAR GROUP REPRESENTATIONS1. Introduction; 2. On the stable Auslander-Reiten quiver of blocks; 3. An approach to classification problems; 4. Ends of components and projective modules; 5. Tame type, results and some questions; 6. Blocks; 7. Wild type; References; Lie Algebras: Arising in Representation Theory; 1. The Comultiplication; 2. Bialgebras; 3. Hall algebras; 4. Subbialgebras; References Representations of algebras Congresses. Représentations des algèbres Congrès. MATHEMATICS Algebra Intermediate. bisacsh Representations of algebras fast Algèbre. ram Représentations d'algèbre. ram |
| title | Representations of algebras and related topics / |
| title_auth | Representations of algebras and related topics / |
| title_exact_search | Representations of algebras and related topics / |
| title_full | Representations of algebras and related topics / edited by H. Tachikawa, S. Brenner. |
| title_fullStr | Representations of algebras and related topics / edited by H. Tachikawa, S. Brenner. |
| title_full_unstemmed | Representations of algebras and related topics / edited by H. Tachikawa, S. Brenner. |
| title_short | Representations of algebras and related topics / |
| title_sort | representations of algebras and related topics |
| topic | Representations of algebras Congresses. Représentations des algèbres Congrès. MATHEMATICS Algebra Intermediate. bisacsh Representations of algebras fast Algèbre. ram Représentations d'algèbre. ram |
| topic_facet | Representations of algebras Congresses. Représentations des algèbres Congrès. MATHEMATICS Algebra Intermediate. Representations of algebras Algèbre. Représentations d'algèbre. Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=616986 |
| work_keys_str_mv | AT tachikawahiroyuki representationsofalgebrasandrelatedtopics AT brenners representationsofalgebrasandrelatedtopics |