Crystal graphs for Lie superalgebras and Cauchy decomposition
JH Kwon - Journal of Algebraic Combinatorics, 2007 - Springer
Journal of Algebraic Combinatorics, 2007•Springer
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.
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.
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.
Springer
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