Canonical basic sets in type B
| dc.creator | Geck, Meinolf | |
| dc.creator | Jacon, Nicolas | |
| dc.date | 2006-01-05 | |
| dc.date | 2006-03-24 | |
| dc.date.accessioned | 2026-07-07T06:58:34Z | |
| dc.date.available | 2026-07-07T06:58:34Z | |
| dc.description | More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B\_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to obtain parametrisations of the irreducible representations of Hecke algebras (of any finite type) in terms of so-called canonical basic sets. For certain values of the parameters in type $B\_n$, combinatorial descriptions of these basic sets were found by Jacon, based on work of Ariki and Foda-Leclerc-Okado-Thibon-Welsh. Here, we consider the canonical basic sets for all the remaining choices of the parameters. | |
| dc.description | 23 pages, to appear in J. Algebra, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0601104 | |
| dc.identifier | http://arxiv.org/abs/math/0601104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107405 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08, 20G40 | |
| dc.title | Canonical basic sets in type B | |
| dc.type | text |