Abstract

We focus on the classification of pointed p3-dimensional Hopf algebras H over any algebraically closed field of prime characteristic p > 0. In particular, we consider certain cases when the group of grouplike elements is of order p or p2, that is, when H is pointed but is not connected nor a group algebra. The structures of the associated graded algebra gr H are completely described as bosonizations of graded braided Hopf algebras over group algebras, and most of the lifting structures of H are given. This work provides many new examples of (parametrized) non-commutative, non-cocommutative finite-dimensional Hopf algebras in positive characteristic.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call