Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$
Quantum Algebra
2007-05-23 v1
Abstract
We develop a crystal base theory for the general linear Lie superalgebra . We prove that any irreducible -module in some category has a crystal base, and prove that its associated crystal base is parameterized by semistandard tableaux.
Cite
@article{arxiv.math/9810092,
title = {Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$},
author = {Georgia Benkart and Seok-Jin Kang and Masaki Kashiwara},
journal= {arXiv preprint arXiv:math/9810092},
year = {2007}
}
Comments
55 pages, many figures drawn with "texdraw"