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Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

Bernard Leclerc, Jean-Yves Thibon

math.QAarXiv:math/9809122

Abstract

We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood-Richardson multiplicities coincide with those previously introduced in terms of ribbon tableaux.

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