Stratifying endomorphism algebras:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1996
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
591 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 124, Number 591 (second of 5 numbers) |
| Physical Description: | VII, 119 S. |
| ISBN: | 082180488X |
Staff View
MARC
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| 245 | 1 | 0 | |a Stratifying endomorphism algebras |c Edward Cline ; Brian Parshall ; Leonard Scott |
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Record in the Search Index
| _version_ | 1804125707324882944 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter 1. Preliminaries 6
1.1. Endomorphism algebras 7
1.2. Duality 13
1.3. Idempotents and quotient categories 17
1.4. Filtrations and spectral sequences 18
1.5. Base change 22
1.6. On the modular representation theory of symmetric
groups 28
Chapter 2. Stratified algebras 37
2.1. Stratifications 37
2.2. Module theoretic formulations . 39
2.3. Stratified algebras and resolutions 43
Chapter 3. Stratifying endomorphism algebras 45
3.1. Constructing stratified algebras 45
3.2. Filtrations and tilting modules 50
3.3. A converse result: stratified algebras as endomorphism
algebras 53
3.4. Tilting modules and the Ringel dual of a highest weight
category 55
3.5. Stratification and recollernent 59
3.6. An abstract theory of twisted Young modules 62
3.7. An abstract theory of Specht module socles 65
3.8. Ext1 vanishing and abstract Specht/Weyl equivalences 68
Chapter 4. Stratifications and orders in semisimple algebras 70
4.1. Integral endomorphism algebras 70
4.2. iy stratified algebras 76
4.3. Integral stratification and recollement 78
4.4. An abstract theory of twisted integral Young modules 80
4.5. Integral theory and Specht module socles 89
4.6. Integral Ext • vanishing and Specht/Weyl equivalences 92
4.7. Integral Ext vanishing and integral stratification 93
V
vi Contents
Chapter 5. Examples 95
5.1. On the Dlab Heath Marko construction 95
5.2. Schur algebras 97
5.3. Singular categories 103
5.4. The category O 106
Chapter 6. Some conjectures for finite Coxeter groups and
further remarks 108
6.1. Example 1: finite groups—a stratification of length 2 108
6.2. Example 2: the dihedral group of order 8 109
6.3. A stratification conjecture 110
6.4. Stratifying systems; a stronger conjecture 111
References 117
|
| any_adam_object | 1 |
| author | Cline, Edward 1940-2012 Parshall, Brian 1945- Scott, Leonard L. 1942- |
| author_GND | (DE-588)173070566 (DE-588)172302021 (DE-588)1032448148 |
| author_facet | Cline, Edward 1940-2012 Parshall, Brian 1945- Scott, Leonard L. 1942- |
| author_role | aut aut aut |
| author_sort | Cline, Edward 1940-2012 |
| author_variant | e c ec b p bp l l s ll lls |
| building | Verbundindex |
| bvnumber | BV011210070 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246281949 (DE-599)BVBBV011210070 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011210070 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:50Z |
| institution | BVB |
| isbn | 082180488X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007519378 |
| oclc_num | 246281949 |
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| physical | VII, 119 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Cline, Edward 1940-2012 Verfasser (DE-588)173070566 aut Stratifying endomorphism algebras Edward Cline ; Brian Parshall ; Leonard Scott Providence, RI American Math. Soc. 1996 VII, 119 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 591 Volume 124, Number 591 (second of 5 numbers) Dimension n (DE-588)4309313-9 gnd rswk-swf Endomorphismenring (DE-588)4456596-3 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Algebra (DE-588)4001156-2 gnd rswk-swf Endomorphismenring (DE-588)4456596-3 s Algebra (DE-588)4001156-2 s Dimension n (DE-588)4309313-9 s DE-604 Lineare algebraische Gruppe (DE-588)4295326-1 s Parshall, Brian 1945- Verfasser (DE-588)172302021 aut Scott, Leonard L. 1942- Verfasser (DE-588)1032448148 aut American Mathematical Society: Memoirs of the American Mathematical Society 591 (DE-604)BV008000141 591 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007519378&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cline, Edward 1940-2012 Parshall, Brian 1945- Scott, Leonard L. 1942- Stratifying endomorphism algebras American Mathematical Society: Memoirs of the American Mathematical Society Dimension n (DE-588)4309313-9 gnd Endomorphismenring (DE-588)4456596-3 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4309313-9 (DE-588)4456596-3 (DE-588)4295326-1 (DE-588)4001156-2 |
| title | Stratifying endomorphism algebras |
| title_auth | Stratifying endomorphism algebras |
| title_exact_search | Stratifying endomorphism algebras |
| title_full | Stratifying endomorphism algebras Edward Cline ; Brian Parshall ; Leonard Scott |
| title_fullStr | Stratifying endomorphism algebras Edward Cline ; Brian Parshall ; Leonard Scott |
| title_full_unstemmed | Stratifying endomorphism algebras Edward Cline ; Brian Parshall ; Leonard Scott |
| title_short | Stratifying endomorphism algebras |
| title_sort | stratifying endomorphism algebras |
| topic | Dimension n (DE-588)4309313-9 gnd Endomorphismenring (DE-588)4456596-3 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Algebra (DE-588)4001156-2 gnd |
| topic_facet | Dimension n Endomorphismenring Lineare algebraische Gruppe Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007519378&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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