Elsevier

Journal of Algebra

Volume 249, Issue 2, 15 March 2002, Pages 306-325
Journal of Algebra

Regular Article
Parabolic Kazhdan–Lusztig Polynomials and Schubert Varieties

DEDICATED TO PROFESSOR RYOSHI HOTTA ON THE OCCASION OF HIS 60TH BIRTHDAY
https://doi.org/10.1006/jabr.2000.8690Get rights and content
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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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Communicated by Peter, Littelmann