Affine Geometric Crystal of type $D_4^{(3)}$

Mana Igarashi; Toshiki Nakashima

arxiv: 0911.3556 · v1 · submitted 2009-11-18 · 🧮 math.QA · math.RT

Affine Geometric Crystal of type D₄⁽³⁾

Mana Igarashi , Toshiki Nakashima This is my paper

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keywords affinecrystalgeometrictypeassociatedcertainexplicitexplicitly

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We shall realize certain affine geometric crystal of type $D_4^{(3)}$ associated with the fundamental representation $W(\pi_1)$ explicitly . By its explicit form, we see that it has a positive structure.

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Affine Geometric Crystal of type D₄⁽³⁾

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