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Crystal graphs for Lie superalgebras and Cauchy decomposition

Jae-Hoon Kwon
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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.

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Jae-Hoon Kwon. 2006-01-25. Crystal graphs for Lie superalgebras and Cauchy decomposition. https://arxiv.org/abs/math/0601598

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