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arxiv: math/9809122 · v3 · submitted 1998-09-22 · 🧮 math.QA · math.CO· math.RT

Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

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keywords littlewood-richardsoncoefficientskazhdan-lusztigpolynomialsaffinecertaincoincidegroups
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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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