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arxiv: math/0508231 · v1 · submitted 2005-08-13 · 🧮 math.QA

Descriptions of the crystal B(infty) for G₂

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keywords crystalgivendescriptionsinftytypesbasecliffexplicit
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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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