Kazhdan-Lusztig Basis and A Geometric Filtration of an affine Hecke Algebra, II

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dc.creatorXi, Nanhua
dc.date2008-01-03
dc.date.accessioned2026-07-07T08:52:17Z
dc.date.available2026-07-07T08:52:17Z
dc.descriptionAn affine Hecke algebras can be realized as an equivariant K-group of the corresponding Steinberg variety. This gives rise naturally to some two-sided ideals of the affine Hecke algebra by means of the closures of nilpotent orbits of the corresponding Lie algebra. In this paper we will show that the two-sided ideals are in fact the two-sided ideals of the affine Hecke algebra defined through two-sided cells of the corresponding affine Weyl group after the two-sided ideals are tensored by rational numbers field. This proves a weak form of a conjecture of Ginzburg proposed in 1987.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0801.0472
dc.identifierhttp://arxiv.org/abs/0801.0472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145229
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject20C08
dc.titleKazhdan-Lusztig Basis and A Geometric Filtration of an affine Hecke Algebra, II
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