An affine Hecke algebra 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 the two-sided cells of the corresponding affine Weyl group after the two kinds of ideals are tensored by Q. This proves a weak form of a conjecture of Ginzburg proposed in 1987.
Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714
Xi, Nanhua. Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2011,13(1):207-217.
APA
Xi, Nanhua.(2011).Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,13(1),207-217.
MLA
Xi, Nanhua."Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra, II".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 13.1(2011):207-217.
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