The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm |
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| Authors: | Steen Ryom-Hansen |
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| Institution: | (1) Instituto de Matemática y Física, Univerdad de Talca, Chile |
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| Abstract: | We generalize Soergel's tilting algorithm to singular weights and deduce from this the validity of the Lascoux-Leclerc-Thibon
conjecture on the connection between the canonical basis of the basic submodule of the Fock module and the representation
theory of the Hecke-algebras at root of unity.
Supported in part by Programa Reticulados y Ecuaciones and by FONDECYT grant 1051024. |
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| Keywords: | Tilting modules Crystal basis Fock module Kashdan-Lusztig polynomials |
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