Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triviality Theorems for Yetter-Drinfel'd Hopf Algebras   Under suitable assumptions on the base field, we prove that a commutative
semisimple Yetter-Drinfel'd Hopf algebra over a finite abelian group is
trivial, i.e., is an ordinary Hopf algebra, if its dimension is relatively
prime to the order of the finite abelian group. Furthermore, we prove that a
finite-dimensional cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra
contains a trivial Yetter-Drinfel'd Hopf subalgebra of dimension greater than
one, at least if the Yetter-Drinfel'd Hopf algebra itself has dimension greater
than one.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex