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