EQUIVARIANT K-THEORY OF GENERALIZED STEINBERG VARIETIES

作者:Douglass J Matthew*; Roehrle Gerhard
来源:Transformation Groups, 2014, 19(1): 27-56.
DOI:10.1007/s00031-014-9257-x

摘要

We describe the equivariant K-groups of a family of generalized Steinberg varieties that interpolates between the Steinberg variety of a reductive, complex algebraic group and its nilpotent cone in terms of the extended affine Hecke algebra and double cosets in the extended affine Weyl group. As an application, we use this description to de-fine Kazhdan-Lusztig %26quot;bar%26quot; involutions and Kazhdan-Lusztig bases for these equivariant K-groups.

  • 出版日期2014-3

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