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

Toshiki Nakashima

arxiv: math/0612858 · v1 · submitted 2006-12-29 · 🧮 math.QA · math.RT

Affine Geometric Crystal of type G⁽¹⁾₂

Toshiki Nakashima This is my paper

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keywords affinecrystalgeometrictypecertaincomplicatedexplicitexplicitly

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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.

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Affine Geometric Crystal of type G⁽¹⁾₂

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