Deformation by cocycles of pointed Hopf algebras over non-abelian groups

Details Deformation by cocycles of pointed Hopf algebras over non-abelian groups Deformation by cocycles of pointed Hopf algebras over non-abelian groups

2012-03-05

arxiv.org/abs/1203.0957v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

We introduce a method to construct multiplicative 2-cocycles for bosonizations of Nichols algebras over Hopf algebras with bijective antipode. These cocycles arise as liftings of invariant e-biderivations defined on the Nichols algebras. Using this construction, we show that all known finite dimensional pointed Hopf algebras over the dihedral groups D_m with m=4t > 11, over the symmetric group S_3 and some families over S_4 are cocycle deformations of bosonizations of Nichols algebras, by constructing explicitly the 2-cocycles.

Affiliated with

Also associated with

No associations

Rating

Deformation by cocycles of pointed Hopf algebras over non-abelian 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 Deformation by cocycles of pointed Hopf algebras over non-abelian groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformation by cocycles of pointed Hopf algebras over non-abelian groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133722