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Parabolic Kazhdan-Lusztig polynomials and Schubert varieties

Masaki Kashiwara, Toshiyuki Tanisaki

math.RTarXiv:math/9908153

Abstract

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 parabolic Kazhdan-Lusztig polynomials introduced by Deodhar.

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