Crystal graphs for Lie superalgebras and Cauchy decomposition

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.

Cited by in corpus (1)

• Rational semistandard tableaux and character formula for the Lie superalgebra ${\widehat{\mathfrak{gl}}}_{\infty |\infty }$