Dual canonical bases and Kazhdan-Lusztig polynomials

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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

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Quantum Algebra, Representation Theory, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/102307

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509700
 http://arxiv.org/abs/math/0509700
 J. Algebra 306 (2006), 17-46.

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arXiv