Crystal $\Bla$ in $B(\infty)$ for $G_2$ type Lie Algebra
Representation Theory
2013-10-24 v1 Quantum Algebra
Abstract
A previous work gave a combinatorial description of the crystal , in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dimensional simple Lie algebras. Using this result, we present an explicit description of the crystal , in terms of the marginally large tableaux, for the Lie algebra type. We also provide a new description of , in terms of Nakajima monomials, that is in natural correspondence with our tableau description.
Keywords
Cite
@article{arxiv.1310.6211,
title = {Crystal $\Bla$ in $B(\infty)$ for $G_2$ type Lie Algebra},
author = {Min Kyu Kim and Hyeonmi Lee},
journal= {arXiv preprint arXiv:1310.6211},
year = {2013}
}
Comments
13 pages, submitted