Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lakshmibai-Seshadri paths for hyperbolic Kac-Moody algebras of rank $2$   Let $\mathfrak{g}$ be a hyperbolic Kac-Moody algebra of rank $2$, and set
$\lambda: = \Lambda_1 - \Lambda_2$, where $\Lambda_1, \Lambda_2$ are the
fundamental weights for $\mathfrak{g}$; note that $\lambda$ is neither dominant
nor antidominant. Let $\mathbb{B}(\lambda)$ be the crystal of all
Lakshmibai-Seshadri paths of shape $\lambda$. We prove that (the crystal graph
of) $\mathbb{B}(\lambda)$ is connected. Furthermore, we give an explicit
description of Lakshmibai-Seshadri paths of shape $\lambda$.

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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc