Hopf monads

Mathematics – Quantum Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

47 pages

Scientific paper

We introduce and study Hopf monads on autonomous categories (i.e., monoidal categories with duals). Hopf monads generalize Hopf algebras to a non-braided (and non-linear) setting. Indeed, any monoidal adjunction between autonomous categories gives rise to a Hopf monad. We extend many fundamental results of the theory of Hopf algebras (such as the decomposition of Hopf modules, the existence of integrals, Maschke's criterium of semisimplicity, etc...) to Hopf monads. We also introduce and study quasitriangular and ribbon Hopf monads (again defined in a non-braided setting).

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Hopf monads 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 monads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf monads will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-589862

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.