Crystal graphs for Lie superalgebras and Cauchy decomposition
classification
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cauchycrystaldecompositionsgraphssuperalgebrasbicrystalcombinatorialconsider
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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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