Partial Hopf actions, partial invariants and a Morita context

Details Partial Hopf actions, partial invariants and a Morita context Partial Hopf actions, partial invariants and a Morita context

2009-01-08

arxiv.org/abs/0901.0959v2

Mathematics

Rings and Algebras

revised version with a new section on Partial Hopf-Galois theory added. To be published in "Algebra and Discrete Mathematics"

Scientific paper

Partial actions of Hopf algebras can be considered as a generalization of partial actions of groups on algebras. Among important properties of partial Hopf actions, it is possible to assure the existence of enveloping actions. This allows to extend several results from the theory of partial group actions to the Hopf algebraic setting. In this article, we explore some properties of the fixed point subalgebra with relations to a partial action of a Hopf algebra. We also construct, for partial actions of finite dimensional Hopf algebras a Morita context relating the fixed point subalgebra and the partial smash product. This is a generalization of a well known result in the theory of Hopf algebras for the case of partial actions. Finally, we study Hopf-Galois extensions and reobtain some classical results in the partial case.

Affiliated with

Also associated with

No associations

Rating

Partial Hopf actions, partial invariants and a Morita context 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 Partial Hopf actions, partial invariants and a Morita context, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partial Hopf actions, partial invariants and a Morita context will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-62098