Crystal graphs for Lie superalgebras and Cauchy decomposition |
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| Authors: | Jae-Hoon Kwon |
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| Institution: | (1) Department of Mathematics, University of Seoul, 90 Cheonnong-dong, Dongdaemun-gu, Seoul, 130-743, Korea |
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| Abstract: | We discuss Cauchy type decompositions of crystal graphs for general linear Lie superalgebras. More precisely, we consider bicrystal graph structures on various sets of matrices of non-negative integers, and obtain their decompositions with explicit combinatorial isomorphisms.This research was supported by 2005 research fund of University of Seoul. |
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| Keywords: | Crystal graphs Lie superalgebra Cauchy decomposition |
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