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Affine Crystal Graphs And Two-Colored Partitions
Authors:Jae-Hoon Kwon
Institution:(1) Department of Mathematics, University of Seoul, Dongdaemun-gu, Seoul, 130-743, Korea
Abstract:We define the cores and the quotients of the elements in the crystal graph of the basic representation of $$A_{2n-1}^{(2)}$$ or $$D_{n}^{(1)}$$, and then obtain new combinatorial interpretations of the character and the string function formula. Mathematics Subject Classifications (2000). 17B37, 05A17.
Keywords:Quantum group  affine crystal graph  partition  string function
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