Crystal graphs for Lie superalgebras and Cauchy decomposition

Details Crystal graphs for Lie superalgebras and Cauchy decomposition Crystal graphs for Lie superalgebras and Cauchy decomposition

2006-01-25

arxiv.org/abs/math/0601598v1

Mathematics

Quantum Algebra

Scientific paper

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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