Geodesic
Crystal graphs for Lie superalgebras and Cauchy decomposition
Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 57-100.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: keywords crystal graphs, Lie superalgebra, Cauchy decomposition 
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     title = {Crystal graphs for {Lie} superalgebras and {Cauchy} decomposition},
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Kwon, Jae-Hoon. Crystal graphs for Lie superalgebras and Cauchy decomposition. Journal of Algebraic Combinatorics, Tome 25 (2007) no. 1, pp. 57-100. http://geodesic.mathdoc.fr/item/JAC_2007__25_1_a1/