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Crystal graphs for Lie superalgebras and Cauchy decomposition

Research paper by Jae-Hoon Kwon

Indexed on: 24 Jan '06Published on: 24 Jan '06Published in: Mathematics - Quantum Algebra



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.