Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maschke functors, semisimple functors and separable functors of the
  second kind. Applications   We introduce separable functors of the second kind (or $H$-separable
functors) and $H$-Maschke functors. $H$-separable functors are generalizations
of separable functors. Various necessary and sufficient conditions for a
functor to be $H$-separable or $H$-Maschke, in terms of generalized (co)Casimir
elements (integrals, in the case of Hopf algebras), are given. An $H$-separable
functor is always $H$-Maschke, but the converse holds in particular situations.
A special role will be played by Frobenius functors and their relations to
$H$-separability. Our concepts are applied to modules, comodules, entwined
modules, quantum Yetter-Drinfeld modules, relative Hopf modules.

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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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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-th