On the number of simple modules of Iwahori--Hecke algebras of finite Weyl groups
| dc.creator | Geck, Meinolf | |
| dc.date | 2004-05-28 | |
| dc.date.accessioned | 2026-07-07T05:08:42Z | |
| dc.date.available | 2026-07-07T05:08:42Z | |
| dc.description | Let $H_k(W,q)$ be the Iwahori--Hecke algebra associated with a finite Weyl group $W$, where $k$ is a field and $0 \neq q \in k$. Assume that the characteristic of $k$ is not ``bad'' for $W$ and let $e$ be the smallest $i \geq 2$ such that $1+q+q^2+... +q^{i-1}=0$. We show that the number of simple $H_k(H,q)$-modules is ``generic'', i.e., it only depends on $e$. The proof uses some computations in the {\sf CHEVIE} package of {\sf GAP} and known results due to Dipper--James, Ariki--Mathas, Rouquier and the author. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0405555 | |
| dc.identifier | http://arxiv.org/abs/math/0405555 | |
| dc.identifier | Bul. Stiit. Univ. Baia Mare, Ser. B {\bf 16} (2000), 235--246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71369 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08 | |
| dc.title | On the number of simple modules of Iwahori--Hecke algebras of finite Weyl groups | |
| dc.type | text |