Hopf algebra extensions of group algebras and Tambara-Yamagami categories

Details Hopf algebra extensions of group algebras and Tambara-Yamagami categories Hopf algebra extensions of group algebras and Tambara-Yamagami categories

2008-05-20

arxiv.org/abs/0805.3172v2

Mathematics

Quantum Algebra

Main changes appear in the description in Theorem 1.1, missing case added in proof of Proposition 6.1 and reference added. To

Scientific paper

We determine the structure of Hopf algebra extensions of a group algebra by the cyclic group of order 2. We study the corepresentation theory of such Hopf algebras, which provide a generalization, at the Hopf algebra level, of the so called Tambara-Yamagami fusion categories. As a byproduct, we show that every semisimple Hopf algebra of dimension $<36$ is necessarily group-theoretical; thus 36 is the smallest possible dimension where a non group-theoretical example occurs.

Affiliated with

Also associated with

No associations

Rating

Hopf algebra extensions of group algebras and Tambara-Yamagami categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hopf algebra extensions of group algebras and Tambara-Yamagami categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf algebra extensions of group algebras and Tambara-Yamagami categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289627