Classifying spaces of finite groups of tame representation type

Fuente: arXiv
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Main Author: Benson, David J.
Format: Preprint
Published: 2022
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author Benson, David J.
author_facet Benson, David J.
contents Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine the $p$-completed classifying spaces of these blocks and their loop spaces. We pay special attention to the $A_\infty$ algebra structures, and singularity and cosingularity categories.
format Preprint
id arxiv_https___arxiv_org_abs_2208_07913
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Classifying spaces of finite groups of tame representation type
Benson, David J.
Representation Theory
Algebraic Topology
Group Theory
Primary: 20J06, Secondary: 16E45, 55P35, 55P60, 55S30
Thanks to the work of Karin Erdmann, we know a great deal about the representation theory of blocks of finite groups with tame representation type. Our purpose here is to examine the $p$-completed classifying spaces of these blocks and their loop spaces. We pay special attention to the $A_\infty$ algebra structures, and singularity and cosingularity categories.
title Classifying spaces of finite groups of tame representation type
topic Representation Theory
Algebraic Topology
Group Theory
Primary: 20J06, Secondary: 16E45, 55P35, 55P60, 55S30
url https://arxiv.org/abs/2208.07913