A.N. Kirillov, A. Schilling, M. Shimozono
We define a bijection from Littlewood-Richardson tableaux to rigged configurations and show that it preserves the appropriate statistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials KλR(q) labeled by a partition λ and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n,C) -module Vλ of highest weight λ in the tensor product VR1⊗⋯⊗VRL .
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