Basic quasi-Hopf algebras over cyclic groups

Details Basic quasi-Hopf algebras over cyclic groups Basic quasi-Hopf algebras over cyclic groups

2009-08-14

arxiv.org/abs/0908.1995v1

Adv. Math. (2010)

Mathematics

Quantum Algebra

32pages

Scientific paper

10.1016/j.aim.2010.06.013

Let $m$ a positive integer, not divisible by 2,3,5,7. We generalize the classification of basic quasi-Hopf algebras over cyclic groups of prime order given in \cite{EG3} to the case of cyclic groups of order $m$. To this end, we introduce a family of non-semisimple radically graded quasi-Hopf algebras $A(H,s)$, constructed as subalgebras of Hopf algebras twisted by a quasi-Hopf twist, which are not twist equivalent to Hopf algebras. Any basic quasi-Hopf algebra over a cyclic group of order $m$ is either semisimple, or is twist equivalent to a Hopf algebra or a quasi-Hopf algebra of type $A(H,s)$.

Affiliated with

Also associated with

No associations

Rating

Basic quasi-Hopf algebras over cyclic groups 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 Basic quasi-Hopf algebras over cyclic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Basic quasi-Hopf algebras over cyclic groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272045