ORPP logo
Image from Google Jackets

Stratifying Endomorphism Algebras.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1996Copyright date: ©1996Edition: 1st edDescription: 1 online resource (135 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401764
Subject(s): Genre/Form: Additional physical formats: Print version:: Stratifying Endomorphism AlgebrasDDC classification:
  • 512/.55
LOC classification:
  • QA179 -- .C556 1996eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1.1. Endomorphism algebras -- 1.2. Duality -- 1.3. Idempotents and quotient categories -- 1.4. Filtrations and spectral sequences -- 1.5. Base change -- 1.6. On the modular representation theory of symmetric groups -- Chapter 2. Stratified algebras -- 2.1. Stratifications -- 2.2. Module-theoretic formulations -- 2.3. Stratified algebras and resolutions -- Chapter 3. Stratifying endomorphism algebras -- 3.1. Constructing stratified algebras -- 3.2. Filtrations and tilting modules -- 3.3. A converse result: stratified algebras as endomorphism algebras -- 3.4. Tilting modules and the Ringel dual of a highest weight category -- 3.5. Stratification and recollement -- 3.6. An abstract theory of twisted Young modules -- 3.7. An abstract theory of Specht module socles -- 3.8. Ext[sup(1)]-vanishing and abstract Specht/Weyl equivalences -- Chapter 4. Stratifications and orders in semisimple algebras -- 4.1. Integral endomorphism algebras -- 4.2. Z-stratified algebras -- 4.3. Integral stratification and recollement -- 4.4. An abstract theory of twisted integral Young modules -- 4.5. Integral theory and Specht module socles -- 4.6. Integral Ext[sup(1)]-vanishing and Specht/Weyl equivalences -- 4.7. Integral Ext[sup(1)]-vanishing and integral stratification -- Chapter 5. Examples -- 5.1. On the Dlab-Heath-Marko construction -- 5.2. Schur algebras -- 5.3. Singular categories -- 5.4. The category O -- Chapter 6. Some conjectures for finite Coxeter groups and further remarks -- 6.1. Example 1: finite groups-a stratification of length 2 -- 6.2. Example 2: the dihedral group of order 8 -- 6.3. A stratification conjecture -- 6.4. Stratifying systems -- a stronger conjecture -- References.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
No physical items for this record

Intro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1.1. Endomorphism algebras -- 1.2. Duality -- 1.3. Idempotents and quotient categories -- 1.4. Filtrations and spectral sequences -- 1.5. Base change -- 1.6. On the modular representation theory of symmetric groups -- Chapter 2. Stratified algebras -- 2.1. Stratifications -- 2.2. Module-theoretic formulations -- 2.3. Stratified algebras and resolutions -- Chapter 3. Stratifying endomorphism algebras -- 3.1. Constructing stratified algebras -- 3.2. Filtrations and tilting modules -- 3.3. A converse result: stratified algebras as endomorphism algebras -- 3.4. Tilting modules and the Ringel dual of a highest weight category -- 3.5. Stratification and recollement -- 3.6. An abstract theory of twisted Young modules -- 3.7. An abstract theory of Specht module socles -- 3.8. Ext[sup(1)]-vanishing and abstract Specht/Weyl equivalences -- Chapter 4. Stratifications and orders in semisimple algebras -- 4.1. Integral endomorphism algebras -- 4.2. Z-stratified algebras -- 4.3. Integral stratification and recollement -- 4.4. An abstract theory of twisted integral Young modules -- 4.5. Integral theory and Specht module socles -- 4.6. Integral Ext[sup(1)]-vanishing and Specht/Weyl equivalences -- 4.7. Integral Ext[sup(1)]-vanishing and integral stratification -- Chapter 5. Examples -- 5.1. On the Dlab-Heath-Marko construction -- 5.2. Schur algebras -- 5.3. Singular categories -- 5.4. The category O -- Chapter 6. Some conjectures for finite Coxeter groups and further remarks -- 6.1. Example 1: finite groups-a stratification of length 2 -- 6.2. Example 2: the dihedral group of order 8 -- 6.3. A stratification conjecture -- 6.4. Stratifying systems -- a stronger conjecture -- References.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

There are no comments on this title.

to post a comment.

© 2024 Resource Centre. All rights reserved.