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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 -group of Steinberg's triple variety. The -group is eq…
Radon transforms for quasi-equivariant D-modules on generalized flag manifolds
Corrado Marastoni, Toshiyuki Tanisaki
In this paper we deal with Radon transforms for generalized flag manifolds in the framework of quasi-equivariant D-modules. We shall follow the method employed by Baston-Eastwood a…
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
Masaki Kashiwara, Toshiyuki Tanisaki
We shall give a description of the intersection cohomology groups of the Schubert varieties in partial flag manifolds over symmetrizable Kac-Moody Lie algebras in terms of paraboli…
Characters of irreducible modules with non-critical highest weights over affine Lie algebras
Masaki Kashiwara, Toshiyuki Tanisaki
We shall derive Kazhdan-Lusztig type character formula for the irreducible modules with arbitrary non-critical highest weights over affine Lie algebras from the rational case by us…