Relative Kazhdan--Lusztig cells
| dc.creator | Geck, Meinolf | |
| dc.date | 2005-04-11 | |
| dc.date | 2005-04-28 | |
| dc.date.accessioned | 2026-07-07T05:18:59Z | |
| dc.date.available | 2026-07-07T05:18:59Z | |
| dc.description | In this paper, we study the Kazhdan--Lusztig cells of a Coxeter group $W$ in a ``relative'' setting, with respect to a parabolic subgroup $W_I \subseteq W$. This relies on a factorization of the Kazhdan--Lusztig basis $\{C_w\}$ of the corresponding (multi-parameter) Iwahori--Hecke algebra with respect to $W_I$. We obtain two applications to the ``asymptotic case'' in type $B_n$, as introduced by Bonnafé--Iancu: we show that $\{C_w\}$ is a ``cellular basis'' in the sense of Graham--Lehrer, and we construct an analogue of Lusztig's canonical isomorphism from the Iwahori--Hecke algebra to the group algebra of the underlying Weyl group of type $B_n$. | |
| dc.description | 50 pages, submitted; the revised version corrects some misprints | |
| dc.identifier | https://arxiv.org/abs/math/0504216 | |
| dc.identifier | http://arxiv.org/abs/math/0504216 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74855 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08 | |
| dc.title | Relative Kazhdan--Lusztig cells | |
| dc.type | text |