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arXiv · 1911.04484

$D_6^{(1)}$- Geometric Crystal at the spin node

Kailash C. Misra·Suchada Pongprasert
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Abstract

Let $\mathfrak{g}$ be an affine Lie algebra with index set $I = \{0, 1, 2, \cdots , n\}$. It is conjectured that for each Dynkin node $k \in I \setminus \{0\}$ the affine Lie algebra $\mathfrak{g}$ has a positive geometric crystal. In this paper we construct a positive geometric crystal for the affine Lie algebra $D_6^{(1)}$ corresponding to the Dynkin spin node $k= 6$.

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Kailash C. Misra, Suchada Pongprasert. 2019-11-11. $D_6^{(1)}$- Geometric Crystal at the spin node. https://arxiv.org/abs/1911.04484

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