Trivial source characters in blocks of domestic representation type
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918397456941056 |
|---|---|
| author | Böhmler, Bernhard |
| author_facet | Böhmler, Bernhard |
| contents | Let $G$ be a finite group of even order, let $k$ be an algebraically closed field of characteristic $2$, and let $B$ be a block of the group algebra $kG$ which is of domestic representation type. Up to splendid Morita equivalence, precisely three cases can occur: $kV_4$, $k\mathfrak{A}_4$ and the principal block of $k\mathfrak{A}_5$. In each case, given the character values of the ordinary irreducible characters of $B$, we determine the ordinary characters of all trivial source $B$-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21703 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trivial source characters in blocks of domestic representation type Böhmler, Bernhard Representation Theory 20C15, 20C20, 19A22, 20C05 Let $G$ be a finite group of even order, let $k$ be an algebraically closed field of characteristic $2$, and let $B$ be a block of the group algebra $kG$ which is of domestic representation type. Up to splendid Morita equivalence, precisely three cases can occur: $kV_4$, $k\mathfrak{A}_4$ and the principal block of $k\mathfrak{A}_5$. In each case, given the character values of the ordinary irreducible characters of $B$, we determine the ordinary characters of all trivial source $B$-modules. |
| title | Trivial source characters in blocks of domestic representation type |
| topic | Representation Theory 20C15, 20C20, 19A22, 20C05 |
| url | https://arxiv.org/abs/2503.21703 |