Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gram determinant of the type B Temperley-Lieb algebra   In this paper, we solve a problem posed by Rodica Simion regarding type B
Gram determinants. We present this in a fashion influenced by the work of
W.B.R.Lickorish on Witten-Reshetikhin-Turaev invariants of 3-manifolds. The
roots of the determinant were predicted by Dabkowski and Przytycki, and the
complete factorization was conjectured by Gefry Barad. We will give a detailed
history of this problem in a sequel paper in which we also plan to address
other related questions by Simion, and connect the problem to
Frenkel-Khovanov's work.

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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: eess