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Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke algebra, II

Nanhua Xi — 2011

Journal of the European Mathematical Society

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 . This...

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