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Séminaire Lotharingien de Combinatoire, B50e (2004), 12 pp.

# Bernard Leclerc

# A Littlewood-Richardson Rule for Evaluation Representations
of *U*_{q}(*\hat* sl_{n})

**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 *GL*_{m}.
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
*U*_{q}(*\hat* sl_{n}).

Received: January 5, 2004.
Accepted: April 16, 2004.
Final Version: April 26, 2004.

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