On module categories over finite-dimensional Hopf algebras

Details On module categories over finite-dimensional Hopf algebras On module categories over finite-dimensional Hopf algebras

2006-08-31

arxiv.org/abs/math/0608781v2

J. Alg. 314, (2007), 383-418

Mathematics

Quantum Algebra

33 pages, minor misprints corrected, to appear in J. Algebra

Scientific paper

We show that indecomposable exact module categories over the category Rep H of representations of a finite-dimensional Hopf algebra H are classified by left comodule algebras, H-simple from the right and with trivial coinvariants, up to equivariant Morita equivalence. Specifically, any indecomposable exact module categories is equivalent to the category of finite-dimensional modules over a left comodule algebra. This is an alternative approach to the results of Etingof and Ostrik. For this, we study the stabilizer introduced by Yan and Zhu and show that it coincides with the internal Hom. We also describe the correspondence of module categories between Rep H and Rep (H^*).

Affiliated with

Also associated with

No associations

Rating

On module categories over finite-dimensional Hopf 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 On module categories over finite-dimensional Hopf algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On module categories over finite-dimensional Hopf algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397546