Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lifting of Nichols Algebras of Type $B_2$, with an Appendix: A
  generalization of the q-binomial theorem   We compute liftings of the Nichols algebra of a Yetter-Drinfeld module of
Cartan type $B_2$ subject to the small restriction that the diagonal elements
of the braiding matrix are primitive $n$th roots of 1 with odd $n\neq 5$. As
well, we compute the liftings of a Nichols algebra of Cartan type $A_2$ if the
diagonal elements of the braiding matrix are cube roots of 1; this case was not
completely covered in previous work of Andruskiewitsch and Schneider. We study
the problem of when the liftings of a given Nichols algebra are
quasi-isomorphic. The Appendix (with I. Rutherford) contains a generalization
of the quantum binomial formula. This formula was used in the computation of
liftings of type $B_2$ but is also of interest independent of these results.

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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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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: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex