$R$-polynomials of finite monoids of Lie type
| dc.creator | Aker, Kürşat | |
| dc.creator | Can, Mahir Bilen | |
| dc.creator | Taşkín, Müge | |
| dc.date | 2008-11-26 | |
| dc.date.accessioned | 2026-07-07T12:04:52Z | |
| dc.date.available | 2026-07-07T12:04:52Z | |
| dc.description | This paper concerns the combinatorics of the orbit Hecke algebra associated with the orbit of a two sided Weyl group action on the Renner monoid of a finite monoid of Lie type, $M$. It is shown by Putcha in \cite{Putcha97} that the Kazhdan-Lusztig involution (\cite{KL79}) can be extended to the orbit Hecke algebra which enables one to define the $R$-polynomials of the intervals contained in a given orbit. Using the $R$-polynomials, we calculate the Möbius function of the Bruhat-Chevalley ordering on the orbits. Furthermore, we provide a necessary condition for an interval contained in a given orbit to be isomorphic to an interval in some Weyl group. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0811.4382 | |
| dc.identifier | http://arxiv.org/abs/0811.4382 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208229 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | 05E15; 20G40 | |
| dc.title | $R$-polynomials of finite monoids of Lie type | |
| dc.type | text |