A subalgebra of 0-Hecke algebra
| dc.creator | He, Xuhua | |
| dc.date | 2009-04-11 | |
| dc.date.accessioned | 2026-07-07T13:03:16Z | |
| dc.date.available | 2026-07-07T13:03:16Z | |
| dc.description | Let $(W, I)$ be a finite Coxeter group. In the case where $W$ is a Weyl group, Berenstein and Kazhdan in \cite{BK} constructed a monoid structure on the set of all subsets of $I$ using unipotent $χ$-linear bicrystals. In this paper, we will generalize this result to all types of finite Coxeter groups (including non-crystallographic types). Our approach is more elementary, based on some combinatorics of Coxeter groups. Moreover, we will calculate this monoid structure explicitly for each type. | |
| dc.description | 12 pages, to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/0904.1786 | |
| dc.identifier | http://arxiv.org/abs/0904.1786 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226739 | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 20F55 | |
| dc.title | A subalgebra of 0-Hecke algebra | |
| dc.type | text |