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Kazhdan-Lusztig Basis and a Geometric Filtration of an Affine Hecke Algebra
Published online by Cambridge University Press: 11 January 2016
Abstract
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 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.
- Type
- Research Article
- Information
- Nagoya Mathematical Journal , Volume 182: Special Issue Celebrating the 60th Birthday of George Lusztig , June 2006 , pp. 285 - 311
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 2006
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