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Young wall realization of crystal graphs for Uq(Cn(1))

Jin Hong, Seok-Jin Kang, Hyeonmi Lee

math.QAarXiv:math/0207293

Abstract

We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(Cn(1)) using combinatorics of Young walls. The notion of splitting blocks plays a crucial role in the construction of crystal graphs.

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