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Parabolic Kazhdan-Lusztig polynomials and Schubert varieties (Q1599274)

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Parabolic Kazhdan-Lusztig polynomials and Schubert varieties
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    Parabolic Kazhdan-Lusztig polynomials and Schubert varieties (English)
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    15 April 2003
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    The authors 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 \textit{V. Deodhar} [J. Algebra 111, 483-506 (1987; Zbl 0656.22007)].
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    Grassmanians
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    Schubert varieties
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    flag manifolds
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    intersection cohomology groups
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    symmetrizable Kac-Moody Lie algebras
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