Crystal graphs for Lie superalgebras and Cauchy decomposition
Quantum Algebra
2007-05-23 v1 Representation Theory
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.
Cite
@article{arxiv.math/0601598,
title = {Crystal graphs for Lie superalgebras and Cauchy decomposition},
author = {Jae-Hoon Kwon},
journal= {arXiv preprint arXiv:math/0601598},
year = {2007}
}