Handbook of tilting theory:
Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is...
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | London Mathematical Society lecture note series
332 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 472 pages) |
| ISBN: | 9780511735134 |
| DOI: | 10.1017/CBO9780511735134 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941496 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2007 |||| o||u| ||||||eng d | ||
| 020 | |a 9780511735134 |c Online |9 978-0-511-73513-4 | ||
| 024 | 7 | |a 10.1017/CBO9780511735134 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511735134 | ||
| 035 | |a (OCoLC)847017747 | ||
| 035 | |a (DE-599)BVBBV043941496 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 512/.46 |2 22 | |
| 245 | 1 | 0 | |a Handbook of tilting theory |c edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2007 | |
| 300 | |a 1 online resource (viii, 472 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series |v 332 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel | |
| 520 | |a Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike | ||
| 650 | 4 | |a Associative algebras | |
| 650 | 4 | |a Representations of algebras | |
| 650 | 4 | |a Dimension theory (Algebra) | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 0 | 7 | |a Kategorientheorie |0 (DE-588)4120552-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kategorientheorie |0 (DE-588)4120552-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Angeleri Hügel, Lidia |4 edt | |
| 700 | 1 | |a Happel, Dieter |d 1953- |4 edt | |
| 700 | 1 | |a Krause, Henning |d 1962- |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-68045-5 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511735134 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029350466 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511735134 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511735134 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176883300958208 |
|---|---|
| any_adam_object | |
| author2 | Angeleri Hügel, Lidia Happel, Dieter 1953- Krause, Henning 1962- |
| author2_role | edt edt edt |
| author2_variant | h l a hl hla d h dh h k hk |
| author_facet | Angeleri Hügel, Lidia Happel, Dieter 1953- Krause, Henning 1962- |
| building | Verbundindex |
| bvnumber | BV043941496 |
| collection | ZDB-20-CBO |
| contents | Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel |
| ctrlnum | (ZDB-20-CBO)CR9780511735134 (OCoLC)847017747 (DE-599)BVBBV043941496 |
| dewey-full | 512/.46 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.46 |
| dewey-search | 512/.46 |
| dewey-sort | 3512 246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511735134 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03612nmm a2200529zcb4500</leader><controlfield tag="001">BV043941496</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2007 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511735134</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-73513-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511735134</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511735134</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)847017747</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941496</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.46</subfield><subfield code="2">22</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Handbook of tilting theory</subfield><subfield code="c">edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (viii, 472 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">332</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Associative algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Representations of algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dimension theory (Algebra)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modules (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kategorientheorie</subfield><subfield code="0">(DE-588)4120552-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Angeleri Hügel, Lidia</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Happel, Dieter</subfield><subfield code="d">1953-</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Krause, Henning</subfield><subfield code="d">1962-</subfield><subfield code="4">edt</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-68045-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511735134</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029350466</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511735134</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511735134</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043941496 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9780511735134 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350466 |
| oclc_num | 847017747 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (viii, 472 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Handbook of tilting theory edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause Cambridge Cambridge University Press 2007 1 online resource (viii, 472 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 332 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike Associative algebras Representations of algebras Dimension theory (Algebra) Finite groups Modules (Algebra) Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 s 1\p DE-604 Angeleri Hügel, Lidia edt Happel, Dieter 1953- edt Krause, Henning 1962- edt Erscheint auch als Druckausgabe 978-0-521-68045-5 https://doi.org/10.1017/CBO9780511735134 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Handbook of tilting theory Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel Associative algebras Representations of algebras Dimension theory (Algebra) Finite groups Modules (Algebra) Kategorientheorie (DE-588)4120552-2 gnd |
| subject_GND | (DE-588)4120552-2 |
| title | Handbook of tilting theory |
| title_auth | Handbook of tilting theory |
| title_exact_search | Handbook of tilting theory |
| title_full | Handbook of tilting theory edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause |
| title_fullStr | Handbook of tilting theory edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause |
| title_full_unstemmed | Handbook of tilting theory edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause |
| title_short | Handbook of tilting theory |
| title_sort | handbook of tilting theory |
| topic | Associative algebras Representations of algebras Dimension theory (Algebra) Finite groups Modules (Algebra) Kategorientheorie (DE-588)4120552-2 gnd |
| topic_facet | Associative algebras Representations of algebras Dimension theory (Algebra) Finite groups Modules (Algebra) Kategorientheorie |
| url | https://doi.org/10.1017/CBO9780511735134 |
| work_keys_str_mv | AT angelerihugellidia handbookoftiltingtheory AT happeldieter handbookoftiltingtheory AT krausehenning handbookoftiltingtheory |