Yetter-Drinfel'd Hopf algebras over groups of prime order

Details Yetter-Drinfel'd Hopf algebras over groups of prime order Yetter-Drinfel'd Hopf algebras over groups of prime order

1999-05-30

arxiv.org/abs/math/9905191v1

Lect. Notes Math., Vol. 1789, Springer, Berlin, 2002

Mathematics

Rings and Algebras

152 pages, uses multind and ams packages. See also http://www.mathematik.uni-muenchen.de/~sommerh

Scientific paper

We prove a structure theorem for Yetter-Drinfel'd Hopf algebras over groups of prime order that are nontrivial, cocommutative, and cosemisimple: Under certain assumptions on the base field, these algebras can be decomposed into a tensor product of the dual group ring of the group of prime order and an ordinary group ring of some other group. This tensor product is a crossed product as an algebra and an ordinary tensor product as a coalgebra. In particular, the dimension of such a Yetter-Drinfel'd Hopf algebra is divisible by the prime under consideration. We also find explicit examples of such Yetter-Drinfel'd Hopf algebras and apply the result to the classification program for semisimple Hopf algebras.

Affiliated with

Also associated with

No associations

Rating

Yetter-Drinfel'd Hopf algebras over groups of prime order 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 Yetter-Drinfel'd Hopf algebras over groups of prime order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yetter-Drinfel'd Hopf algebras over groups of prime order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4328