Descriptions of the crystal $B(\infty)$ for $G_2$
Quantum Algebra
2007-05-23 v1
Abstract
We study the crystal base of the negative part of a quantum group. Two explicit descriptions of the crystal for types are given. The first is given in terms of extended Nakajima monomials and the second realization follows a similar result given for other finite types by Cliff.
Cite
@article{arxiv.math/0508231,
title = {Descriptions of the crystal $B(\infty)$ for $G_2$},
author = {Hyeonmi Lee},
journal= {arXiv preprint arXiv:math/0508231},
year = {2007}
}
Comments
18 pages