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Dual canonical bases and Kazhdan-Lusztig polynomials

Jonathan Brundan

math.QAarXiv:math/0509700

Abstract

We derive a formula for the entries of the (unitriangular) transition matrices between the standard monomial and dual canonical bases of the irreducible polynomial representations of Uq(gln) in terms of Kazhdan-Lusztig polynomials.

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