Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra

Toshiyuki Tanisaki, Nanhua Xi

According to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant $K$-group of Steinberg's triple variety. The $K$-group is eq…