G-algebras and modular representation theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1995
|
| Schriftenreihe: | Oxford mathematical monographs
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVII, 570 S. |
| ISBN: | 0198535872 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011131891 | ||
| 003 | DE-604 | ||
| 005 | 19970513 | ||
| 007 | t | ||
| 008 | 970102s1995 |||| 00||| engod | ||
| 020 | |a 0198535872 |9 0-19-853587-2 | ||
| 035 | |a (OCoLC)32311628 | ||
| 035 | |a (DE-599)BVBBV011131891 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-19 |a DE-384 |a DE-739 |a DE-703 |a DE-824 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA177 | |
| 082 | 0 | |a 512/.2 |2 20 | |
| 084 | |a SK 260 |0 (DE-625)143227: |2 rvk | ||
| 084 | |a MAT 202f |2 stub | ||
| 100 | 1 | |a Thévenaz, Jacques |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a G-algebras and modular representation theory |c Jacques Thévenaz |
| 264 | 1 | |a Oxford |b Clarendon Press |c 1995 | |
| 300 | |a XXVII, 570 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Oxford mathematical monographs | |
| 650 | 7 | |a Algèbres de groupes |2 ram | |
| 650 | 7 | |a Groupes finis |2 ram | |
| 650 | 7 | |a Représentations modulaires de groupes |2 ram | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Group algebras | |
| 650 | 4 | |a Modular representations of groups | |
| 650 | 0 | 7 | |a Gruppenring |0 (DE-588)4158469-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modultheorie |0 (DE-588)4170336-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gruppenring |0 (DE-588)4158469-7 |D s |
| 689 | 0 | 1 | |a Modultheorie |0 (DE-588)4170336-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007459663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007459663 | ||
Datensatz im Suchindex
| _version_ | 1804125623556243456 |
|---|---|
| adam_text | Contents
Introduction xiii
Chapter 1. Algebras over a complete local ring 1
§1. Preliminaries 2
§2. Assumptions and basic properties of algebras 12
§3. Lifting idempotents 17
§4. Idempotents and points 21
§5. Projective modules 30
§6. Symmetric algebras 40
§7. Simple algebras and subalgebras 49
§8. Exomorphisms and embeddings 57
§9. Morita equivalence 65
Chapter 2. G algebras and pointed groups 75
§10. Examples of G algebras and interior G algebras 76
§11. Subalgebras of fixed elements and the Brauer homomorphism 88
§12. Exomorphisms and embeddings of G algebras 94
§13. Pointed groups and multiplicity modules 101
§14. Relative projectivity and local points 110
§15. Points and multiplicity modules via embeddings 116
Chapter 3. Induction and defect theory 123
§16. Induction of interior G algebras 124
§17. Induction and relative projectivity 132
§18. Defect theory 146
§19. The Puig correspondence 155
§20. The Green correspondence 160
Chapter 4. Further results on G algebras 169
§21. Basic results for p groups 170
§22. Lifting idempotents with a regular group action 176
§23. Primitivity theorems for p groups 179
§24. Invariant idempotent decompositions for p groups 184
§25. Covering exomorphisms 189
xii Contents
Chapter 5. Modules and diagrams 203
§26. The parametrization of indecomposable modules 204
§27. p permutation modules 216
§28. Endo permutation modules 228
§29. The Dade group of a p group 239
§30. Sources of simple modules for p soluble groups 245
§31. Diagrams 253
§32. Auslander Reiten duality over a field 261
§33. Auslander Reiten duality over a discrete valuation ring 271
§34. Almost split sequences 280
§35. Restriction and induction of almost split sequences 291
§36. Defect groups of almost split sequences 300
Chapter 6. Group algebras and blocks 317
§37. Pointed groups on group algebras 318
§38. The source algebras of a block 330
§39. Blocks with a central defect group 340
§40. Brauer pairs 346
§41. Self centralizing local pointed groups 362
§42. Character theory 367
§43. Generalized decomposition numbers 378
§44. The module structure of source algebras 391
§45. Blocks with a normal defect group 400
§46. Bilinear forms and number of blocks 411
Chapter 7. Local categories and nilpotent blocks 425
§47. Local categories 426
§48. Alperin s fusion theorem 438
§49. Control of fusion and nilpotent blocks 450
§50. The structure of a source algebra of a nilpotent block 461
§51. Lifting theorem for nilpotent blocks 475
§52. The ordinary characters of a nilpotent block 490
Chapter 8. Green functors and maximal ideals 499
§53. Mackey functors and Green functors 500
§54. The Brauer homomorphism for Mackey functors 507
§55. Maximal ideals and pointed groups 514
§56. Defect theory for maximal ideals 522
§57. Functorial ideals and defect theory 532
§58. The Puig and Green correspondences for maximal ideals 540
Bibliography 549
Notation index 559
Subject index 562
|
| any_adam_object | 1 |
| author | Thévenaz, Jacques |
| author_facet | Thévenaz, Jacques |
| author_role | aut |
| author_sort | Thévenaz, Jacques |
| author_variant | j t jt |
| building | Verbundindex |
| bvnumber | BV011131891 |
| callnumber-first | Q - Science |
| callnumber-label | QA177 |
| callnumber-raw | QA177 |
| callnumber-search | QA177 |
| callnumber-sort | QA 3177 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 260 |
| classification_tum | MAT 202f |
| ctrlnum | (OCoLC)32311628 (DE-599)BVBBV011131891 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01676nam a2200457 c 4500</leader><controlfield tag="001">BV011131891</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19970513 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970102s1995 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0198535872</subfield><subfield code="9">0-19-853587-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)32311628</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011131891</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA177</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.2</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 202f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Thévenaz, Jacques</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">G-algebras and modular representation theory</subfield><subfield code="c">Jacques Thévenaz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford</subfield><subfield code="b">Clarendon Press</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXVII, 570 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Oxford mathematical monographs</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algèbres de groupes</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Groupes finis</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Représentations modulaires de groupes</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modular representations of groups</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Modultheorie</subfield><subfield code="0">(DE-588)4170336-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007459663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007459663</subfield></datafield></record></collection> |
| id | DE-604.BV011131891 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:30Z |
| institution | BVB |
| isbn | 0198535872 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007459663 |
| oclc_num | 32311628 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-384 DE-739 DE-703 DE-824 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-384 DE-739 DE-703 DE-824 DE-11 DE-188 |
| physical | XXVII, 570 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Thévenaz, Jacques Verfasser aut G-algebras and modular representation theory Jacques Thévenaz Oxford Clarendon Press 1995 XXVII, 570 S. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Algèbres de groupes ram Groupes finis ram Représentations modulaires de groupes ram Finite groups Group algebras Modular representations of groups Gruppenring (DE-588)4158469-7 gnd rswk-swf Modultheorie (DE-588)4170336-4 gnd rswk-swf Gruppenring (DE-588)4158469-7 s Modultheorie (DE-588)4170336-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007459663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thévenaz, Jacques G-algebras and modular representation theory Algèbres de groupes ram Groupes finis ram Représentations modulaires de groupes ram Finite groups Group algebras Modular representations of groups Gruppenring (DE-588)4158469-7 gnd Modultheorie (DE-588)4170336-4 gnd |
| subject_GND | (DE-588)4158469-7 (DE-588)4170336-4 |
| title | G-algebras and modular representation theory |
| title_auth | G-algebras and modular representation theory |
| title_exact_search | G-algebras and modular representation theory |
| title_full | G-algebras and modular representation theory Jacques Thévenaz |
| title_fullStr | G-algebras and modular representation theory Jacques Thévenaz |
| title_full_unstemmed | G-algebras and modular representation theory Jacques Thévenaz |
| title_short | G-algebras and modular representation theory |
| title_sort | g algebras and modular representation theory |
| topic | Algèbres de groupes ram Groupes finis ram Représentations modulaires de groupes ram Finite groups Group algebras Modular representations of groups Gruppenring (DE-588)4158469-7 gnd Modultheorie (DE-588)4170336-4 gnd |
| topic_facet | Algèbres de groupes Groupes finis Représentations modulaires de groupes Finite groups Group algebras Modular representations of groups Gruppenring Modultheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007459663&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thevenazjacques galgebrasandmodularrepresentationtheory |