Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyhedral realization of the crystal bases for extremal weight modules
  over quantized hyperbolic Kac-Moody algebras of rank 2   Let $\mathfrak{g}$ be a hyperbolic Kac-Moody algebra of rank $2$. We give a
polyhedral realization of the crystal basis for the extremal weight module of
extremal weight $\lambda$, where $\lambda$ is an integral weight whose Weyl
group orbit has neither a dominant integral weight nor an antidominant integral
weight.

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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc