Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-sided (two-cosided) Hopf modules and Doi-Hopf modules for quasi-Hopf
  algebras   Let $H$ be a finite dimensional quasi-Hopf algebra over a field $k$ and
${\mathfrak A}$ a right $H$-comodule algebra in the sense of Hausser and Nill.
We first show that on the $k$-vector space ${\mathfrak A}\ot H^*$ we can define
an algebra structure, denoted by ${\mathfrak A}\ovsm H^*$, in the monoidal
category of left $H$-modules (i.e. ${\mathfrak A}\ovsm H^*$ is an $H$-module
algebra. Then we will prove that the category of two-sided $({\mathfrak A},
H)$-bimodules $\hba $ is isomorphic to the category of relative $({\mathfrak
A}\ovsm H^*, H^*)$-Hopf modules, as introduced in by Hausser and Nill. In the
particular case where ${\mathfrak A}=H$, we will obtain a result announced by
Nill. We will also introduce the categories of Doi-Hopf modules and two-sided
two-cosided Hopf modules and we will show that they are in certain situations
isomorphic to module categories.

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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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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: chao-dyn