Computing Kazhdan--Lusztig cells for unequal parameters
| dc.creator | Geck, Meinolf | |
| dc.date | 2003-12-20 | |
| dc.date.accessioned | 2026-07-07T05:04:05Z | |
| dc.date.available | 2026-07-07T05:04:05Z | |
| dc.description | Following Lusztig, we consider a Coxeter group $W$ together with a weight function $L$. This gives rise to the pre-order relation $\leq_{L}$ and the corresponding partition of $W$ into left cells. We introduce an equivalence relation on weight functions such that, in particular, $\leq_{L}$ is constant on equivalent classes. We shall work this out explicitly for $W$ of type $F_4$ and check that several of Lusztig's conjectures concerning left cells with unequal parameters hold in this case, even for those parameters which do not admit a geometric interpretation. The proofs involve some explicit computations using {\sf CHEVIE}. | |
| dc.identifier | https://arxiv.org/abs/math/0312392 | |
| dc.identifier | http://arxiv.org/abs/math/0312392 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69668 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C08 | |
| dc.title | Computing Kazhdan--Lusztig cells for unequal parameters | |
| dc.type | text |