Parabolic Kazhdan-Lusztig polynomials, plethysm and gereralized Hall-Littlewood functions for classical types
| dc.creator | Lecouvey, Cedric | |
| dc.date | 2006-07-03 | |
| dc.date | 2008-03-24 | |
| dc.date.accessioned | 2026-07-07T09:27:56Z | |
| dc.date.available | 2026-07-07T09:27:56Z | |
| dc.description | We use power sums plethysm operators to introduce H functions which interpolate between the Weyl characters and the Hall-Littlewood functions Q' corresponding to classical Lie groups. The coefficients of these functions on the basis of Weyl characters are parabolic Kazhdan-Lusztig polynomials and thus, are nonnegative. We prove that they can be regarded as quantizations of branching coefficients obtained by restriction to certain Levi subgroups. The H functions associated to linear groups coincide with the polynomials introduced by Lascoux Leclerc and Thibon (LLT polynomials). | |
| dc.description | To appear in European Journal of Combinatorics | |
| dc.identifier | https://arxiv.org/abs/math/0607038 | |
| dc.identifier | http://arxiv.org/abs/math/0607038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157280 | |
| dc.subject | Representation Theory | |
| dc.title | Parabolic Kazhdan-Lusztig polynomials, plethysm and gereralized Hall-Littlewood functions for classical types | |
| dc.type | text |