Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yetter-Drinfeld modules for Turaev crossed structures   We provide an analog of the Joyal-Street center construction and of the
Kassel-Turaev categorical quantum double in the context of the crossed
categories introduced by Turaev. Then, we focus or attention to the case of
categories of representation. In particular, we introduce the notion of a
Yetter-Drinfeld module over a crossed group coalgebra H and we prove that both
the category of Yetter-Drinfeld modules over H and the center of the category
of representations of H as well as the category of representations of the
quantum double of H are isomorphic as braided crossed categories.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph