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arXiv · 2001.01066

Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2

Ryuta Hiasa
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Abstract

Let $\mathfrak{g}$ be a hyperbolic Kac-Moody algebra of rank $2$. We give a necessary and sufficient condition for the crystal graph of the Lakshmibai-Seshadri path crystal $\mathbb{B}(λ)$ to be connected for an arbitrary integral weight $λ$.

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Ryuta Hiasa. 2020-08-29. Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2. https://arxiv.org/abs/2001.01066

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