Littelmann's path crystal and combinatorics of certain sll+1 modules of level zero
Abstract
We construct a subcrystal of the Littelmann's path crystal whose formal character coincides with that of a certain simple integrable module of level zero over the untwisted affine Lie algebra associated to sln. We also establish an analogue of the Littlewood-Richardson rule for the tensor product of that crystal with a highest weight crystal.
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