Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in
  exceptional types   We prove that, in types $E_{6,7,8}^{(1)}$, $F_4^{(1)}$ and $E_6^{(2)}$, every
Kirillov--Reshetikhin module associated with the node adjacent to the adjoint
one (near adjoint node) has a crystal pseudobase, by applying the criterion
introduced by Kang et.al. In order to apply the criterion, we need to prove
some statements concerning values of a bilinear form. We achieve this by using
the global bases of extremal weight modules.

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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc