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Descriptions of the crystal $B(\infty)$ for $G_2$

Hyeonmi Lee
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Abstract

We study the crystal base of the negative part of a quantum group. Two explicit descriptions of the crystal $B(\infty)$ for types $G_2$ 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.

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BibTeXRIS

Hyeonmi Lee. 2005-08-13. Descriptions of the crystal $B(\infty)$ for $G_2$. https://arxiv.org/abs/math/0508231

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