James' Conjecture for Hecke algebras of exceptional type, I
| dc.creator | Geck, Meinolf | |
| dc.creator | Mueller, Juergen | |
| dc.date | 2007-12-11 | |
| dc.date | 2008-10-30 | |
| dc.date.accessioned | 2026-07-07T10:13:43Z | |
| dc.date.available | 2026-07-07T10:13:43Z | |
| dc.description | In this paper, and a second part to follow, we complete the programme (initiated more than 15 years ago) of determining the decomposition numbers and verifying James' Conjecture for Iwahori--Hecke algebras of exceptional type. The new ingredients which allow us to achieve this aim are: - the fact, recently proved by the first author, that all Hecke algebras of finite type are cellular in the sense of Graham--Lehrer, and - the explicit determination of $W$-graphs for the irreducible (generic) representations of Hecke algebras of type $E_7$ and $E_8$ by Howlett and Yin. Thus, we can reduce the problem of computing decomposition numbers to a manageable size where standard techniques, e.g., Parker's {\sf MeatAxe} and its variations, can be applied. In this part, we describe the theoretical foundations for this procedure. | |
| dc.description | 24 pages; corrected some misprints, added Remark 4.10 | |
| dc.identifier | https://arxiv.org/abs/0712.1620 | |
| dc.identifier | http://arxiv.org/abs/0712.1620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172633 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08 | |
| dc.title | James' Conjecture for Hecke algebras of exceptional type, I | |
| dc.type | text |