Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of bicovariant differential calculi over free orthogonal
  Hopf algebras   We show that if two Hopf algebras are monoidally equivalent, then their
categories of bicovariant differential calculi are equivalent. We then
classify, for $q \in \mathbb{C}^*$ not a root of unity, the finite dimensional
bicovariant differential calculi over the Hopf algebra $\mathcal{O}_q(SL_2)$.
Using a monoidal equivalence between free orthogonal Hopf algebras and
$\mathcal{O}_q(SL_2)$ for a given $q$, this leads us to the classification of
finite dimensional bicovariant differential calculi over free orthogonal Hopf
algebras.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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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: quant-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ