Parabolic Kazhdan-Lusztig polynomials and Schubert varieties

Mathematics – Representation Theory

Scientific paper

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21 pages

Scientific paper

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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