Young Wall Realization of Crystal Bases for Classical Lie Algebras
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
In this paper, we give a new realization of crystal bases for finite dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.
Cite
@article{arxiv.math/0309095,
title = {Young Wall Realization of Crystal Bases for Classical Lie Algebras},
author = {Seok-Jin Kang and Jeong-Ah Kim and Hyeonmi Lee and Dong-Uy Shin},
journal= {arXiv preprint arXiv:math/0309095},
year = {2007}
}
Comments
27pages