v 1 7 N ov 1 99 6 ON INNER PRODUCT IN MODULAR TENSOR CATEGORIES . II INNER PRODUCT ON CONFORMAL BLOCKS AND AFFINE INNER PRODUCT IDENTITIES
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FUSION PRODUCTS OF slN SYMMETRIC POWER REPRESENTATIONS AND KOSTKA POLYNOMIALS
where Mλ,μ is a multiplicity space on which g acts trivially, of dimension Kλ,μ which can be computed from the Clebsch-Gordan coefficients or the Littlewood-Richardson rule. The Schur-Weyl duality concerns the case where μ = (1) for all i. In that case, there is an action of the symmetric group SN on the tensor product by permutation of factors, which centralizes the action of sln. In this case...
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