Affine Geometric Crystal of type $G^{(1)}_2$

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We shall realize certain affine geometric crystal of type $G^{(1)}_2$ explicitly in the fundamental representation $W(\varpi_1)$. Its explicit form is rather complicated but still keeps a positive structure.
14 pages

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Quantum Algebra, Representation Theory, 17B37;17B67

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http://salesiana.dossiersoluciones.com/handle/123456789/120858

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612858
 http://arxiv.org/abs/math/0612858

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arXiv