Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalised Taft algebras and pairs in involution   A class of finite-dimensional Hopf algebras which generalise the notion of
Taft algebras is studied. We give necessary and sufficient conditions for these
Hopf algebras to omit a pair in involution, that is, to not have a group-like
and a character implementing the square of the antipode. As a consequence we
prove the existence of an infinite set of examples of finite-dimensional Hopf
algebras without such pairs. This has implications for the theory of
anti-Yetter-Drinfeld modules as well as biduality of representations of Hopf
algebras.
  This article has been accepted for publication in Communications in Algebra,
published by Taylor & Francis.

14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat