Generalized induction of Kazhdan-Lusztig cells
| dc.creator | Guilhot, Jeremie | |
| dc.date | 2008-02-11 | |
| dc.date | 2008-10-28 | |
| dc.date.accessioned | 2026-07-07T10:13:09Z | |
| dc.date.available | 2026-07-07T10:13:09Z | |
| dc.description | Following Lusztig, we consider a Coxeter group $W$ together with a weight function. Geck showed that the Kazhdan-Lusztig cells of $W$ are compatible with parabolic subgroups. In this paper, we generalize this argument to some subsets of $W$ which may not be parabolic subgroups. We obtain two applications: we show that under specific technical conditions on the parameters, the cells of a certain finite parabolic subgroup of $W$ are cells in the whole group, and we decompose the affine Weyl group $\tilde{G}_{2}$ into left and two-sided cells for a whole class of weight functions. | |
| dc.description | 21 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0802.1408 | |
| dc.identifier | http://arxiv.org/abs/0802.1408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172426 | |
| dc.subject | Representation Theory | |
| dc.title | Generalized induction of Kazhdan-Lusztig cells | |
| dc.type | text |