Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra

Simple item page
dc.creatorTanisaki, Toshiyuki
dc.creatorXi, Nanhua
dc.date2004-11-13
dc.date.accessioned2026-07-07T05:14:18Z
dc.date.available2026-07-07T05:14:18Z
dc.descriptionAccording to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant $K$-group of Steinberg's triple variety. The $K$-group is equipped with a filtration indexed by closed $G$-stable subvarieties of the nilpotent variety, where $G$ is the corresponding reductive algebraic group over $\mathbb{C}$. In this paper we will show in the case of type $A$ that the filtration is compatible with the Kazhdan-Lusztig basis of the Hecke algebra.
dc.description22pages
dc.identifierhttps://arxiv.org/abs/math/0411304
dc.identifierhttp://arxiv.org/abs/math/0411304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73224
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject20G05
dc.titleKazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra
dc.typetext

Files

Collections

arXiv