Specht modules and Kazhdan--Lusztig cells in type $B_n$
| dc.creator | Geck, Meinolf | |
| dc.creator | Iancu, Lacrimioara | |
| dc.creator | Pallikaros, Christos | |
| dc.date | 2007-04-16 | |
| dc.date | 2007-06-13 | |
| dc.date.accessioned | 2026-07-07T08:05:09Z | |
| dc.date.available | 2026-07-07T08:05:09Z | |
| dc.description | Dipper, James and Murphy generalized the classical Specht module theory to Hecke algebras of type $B_n$. On the other hand, for any choice of a monomial order on the parameters in type $B_n$, we obtain corresponding Kazhdan--Lusztig cell modules. In this paper, we show that the Specht modules are naturally equivalent to the Kazhdan--Lusztig cell modules {\em if} we choose the dominance order on the parameters, as in the ``asymptotic case'' studied by Bonnafé and the second named author. We also give examples which show that such an equivalence does not hold for other choices of monomial orders. | |
| dc.description | the revised version corrects some minor errors | |
| dc.identifier | https://arxiv.org/abs/0704.1846 | |
| dc.identifier | http://arxiv.org/abs/0704.1846 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130189 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08 | |
| dc.title | Specht modules and Kazhdan--Lusztig cells in type $B_n$ | |
| dc.type | text |