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

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

2008-01-03

arxiv.org/abs/0801.0472v1

Mathematics

Quantum Algebra

10 pages

Scientific paper

An 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.

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