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Dual canonical bases and Kazhdan-Lusztig polynomials

Research paper by Jonathan Brundan

Indexed on: 10 Oct '05Published on: 10 Oct '05Published in: Mathematics - Quantum Algebra



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 U_q(gl_n) in terms of Kazhdan-Lusztig polynomials.

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