Dual canonical bases and Kazhdan-Lusztig polynomials
arXiv: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 U_q(gl_n) in terms of Kazhdan-Lusztig polynomials.
29 pages; v2: some references added