Dual canonical bases and Kazhdan-Lusztig polynomials

Details Dual canonical bases and Kazhdan-Lusztig polynomials Dual canonical bases and Kazhdan-Lusztig polynomials

2005-09-29

arxiv.org/abs/math/0509700v2

J. Algebra 306 (2006), 17-46.

Mathematics

Quantum Algebra

29 pages; v2: some references added

Scientific paper

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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