On the Rosenberg-Zelinsky sequence in abelian monoidal categories

Details On the Rosenberg-Zelinsky sequence in abelian monoidal categories On the Rosenberg-Zelinsky sequence in abelian monoidal categories

2007-12-30

arxiv.org/abs/0801.0157v2

Mathematics

Category Theory

34 pages, some figures, v2: minor typos corrected, version to be published in J. reine angew. Math. (Crelle)

Scientific paper

We consider Frobenius algebras and their bimodules in certain abelian monoidal categories. In particular we study the Picard group of the category of bimodules over a Frobenius algebra, i.e. the group of isomorphism classes of invertible bimodules. The Rosenberg-Zelinsky sequence describes a homomorphism from the group of algebra automorphisms to the Picard group, which however is typically not surjective. We investigate under which conditions there exists a Morita equivalent Frobenius algebra for which the corresponding homomorphism is surjective. One motivation for our considerations is the orbifold construction in conformal field theory.

Affiliated with

Also associated with

No associations

Rating

On the Rosenberg-Zelinsky sequence in abelian monoidal 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 On the Rosenberg-Zelinsky sequence in abelian monoidal categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Rosenberg-Zelinsky sequence in abelian monoidal categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713963