Non-Symmetric Hall-Littlewood Polynomials

Simple item page
dc.creatorDescouens, Francois
dc.creatorLascoux, Alain
dc.date2006-09-19
dc.date.accessioned2026-07-07T07:24:57Z
dc.date.available2026-07-07T07:24:57Z
dc.descriptionUsing the action of the Yang-Baxter elements of the Hecke algebra on polynomials, we define two bases of polynomials in n variables. The Hall-Littlewood polynomials are a subfamily of one of them. For q=0, these bases specialize into the two families of classical Key polynomials (i.e. Demazure characters for type A). We give a scalar product for which the two bases are adjoint of each other.
dc.descriptionDedicated to Adriano Garsia
dc.identifierhttps://arxiv.org/abs/math/0609512
dc.identifierhttp://arxiv.org/abs/math/0609512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116562
dc.subjectCombinatorics
dc.subjectCombinatorics, Representation Theory
dc.titleNon-Symmetric Hall-Littlewood Polynomials
dc.typetext

Files

Collections

arXiv