Semisimple orbits of Lie algebras and card shuffling on Coxeter groups
| dc.creator | Fulman, Jason | |
| dc.date | 1999-03-02 | |
| dc.date | 1999-08-26 | |
| dc.date.accessioned | 2026-07-07T05:28:11Z | |
| dc.date.available | 2026-07-07T05:28:11Z | |
| dc.description | Random walk on the chambers of hyperplanes arrangements is used to define a family of card shuffling measures $H_{W,x}$ for a finite Coxeter group W and real $x \neq 0$. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra to the conjugacy classes of the Weyl group. Choosing such a semisimple orbit uniformly at random thereby induces a probability measure on the conjugacy classes of the Weyl group. For types A, B, and the identity conjugacy class of W for all types, it is proved that for q very good, this measure on conjugacy classes is equal to the measure arising from $H_{W,q}$. | |
| dc.description | Added new section and example | |
| dc.identifier | https://arxiv.org/abs/math/9903012 | |
| dc.identifier | http://arxiv.org/abs/math/9903012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78164 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20G40;20F55 | |
| dc.title | Semisimple orbits of Lie algebras and card shuffling on Coxeter groups | |
| dc.type | text |