Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drinfel'd double for monoidal Hom-Hopf algebras   In this paper we mainly construct bicrossproduct for finite-dimensional
monoidal Hom-Hopf algebra $(H,\alpha)$, generalizing the Majid's
bicrossproduct. Naturally the Hom-type bicrossproduct leads to Drinfel'd double
$(H^{op}\bowtie H^{\ast}, \alpha \otimes (\alpha^{-1})^\ast)$ with a
quasitriangular structure $R$ satisfying the quantum Hom-Yang-Baxter equations.

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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph