Classifying spaces of finite groups of tame representation type
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918252912836608 |
|---|---|
| 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 |