Séminaire Lotharingien de Combinatoire, B50e (2004), 12 pp.
Bernard Leclerc
A Littlewood-Richardson Rule for Evaluation Representations
of Uq(\hat sln)
Abstract.
We give a combinatorial description of the composition
factors of the induction product
of two evaluation modules of the affine Iwahori-Hecke algebra
of type GLm.
Using quantum affine Schur-Weyl duality, this yields a combinatorial description
of the composition factors of the tensor product of two
evaluation modules of the quantum affine algebra
Uq(\hat sln).
Received: January 5, 2004.
Accepted: April 16, 2004.
Final Version: April 26, 2004.
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