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

@inproceedings{Tanisaki2011KazhdanLusztigBA,
  title={Kazhdan–Lusztig basis and a geometric filtration of an affine Hecke Algebra, II},
  author={Toshiyuki Tanisaki and Nanhua Xi},
  year={2011}
}
According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant Kgroup 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 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. 

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