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Connectedness of Lakshmibai-Seshadri path crystals for hyperbolic Kac-Moody algebras of rank 2
Published 4 Jan 2020 in math.CO | (2001.01066v2)
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 $\mathbb{B}(\lambda)$ to be connected for an arbitrary integral weight $\lambda$.
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