Braided Hopf algebras arising from matched pairs of groups

Details Braided Hopf algebras arising from matched pairs of groups Braided Hopf algebras arising from matched pairs of groups

2002-09-17

arxiv.org/abs/math/0209210v2

J. Pure Appl. Alg. 182, 119--149 (2003)

Mathematics

Quantum Algebra

25 pages, to appear in J. of Pure and Applied Algebra, appendix added at the end of the paper by suggestion of the referee

Scientific paper

Let k be a field. Let also (F, G) be a matched pair of groups. We give necessary and sufficient conditions on a pair (\sigma, \tau) of 2-cocycles in order that the crossed product algebra and the crossed coproduct coalgebra k^G{}^{\tau}#_{\sigma} kF combine into a braided Hopf algebra. We also discuss diagonal realizations of such braided Hopf algebras in the category of Yetter-Drinfeld modules over a finite group.

Affiliated with

Also associated with

No associations

Rating

Braided Hopf algebras arising from matched pairs of 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 Braided Hopf algebras arising from matched pairs of groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Braided Hopf algebras arising from matched pairs of groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-589240