The Brauer-Picard group of the representation category of finite supergroup algebras

Details The Brauer-Picard group of the representation category of finite supergroup algebras The Brauer-Picard group of the representation category of finite supergroup algebras

2012-02-28

arxiv.org/abs/1202.6238v3

Mathematics

Quantum Algebra

37 pages. We had to assume that the underlying group is Abelian. Section 8 was corrected accordingly. An error in the last exa

Scientific paper

We develop further the techniques presented in [M. Mombelli. On the tensor product of bimodule categories over Hopf algebras. Preprint arXiv:1111.1610 ] to study bimodule categories over the representation categories of arbitrary finite-dimensional Hopf algebras. We compute the Brauer-Picard group of equivalence classes of exact invertible bimodule categories over the representation categories of a certain large family of pointed non-semisimple Hopf algebras, the so called supergroup algebras. To obtain this result we first give a classification of equivalence classes of exact indecomposable bimodule categories over such Hopf algebras.

Affiliated with

Also associated with

No associations

Rating

The Brauer-Picard group of the representation category of finite supergroup algebras 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 The Brauer-Picard group of the representation category of finite supergroup algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Brauer-Picard group of the representation category of finite supergroup algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610158