In this talk, we introduce a method for constructing semisimple Hopf superalgebras whose (Radford-Majid) bosonization becomes isomorphic to an abelian extension by appropriate groups. We will see how these semisimple Hopf superalgebras and twists of suitable group algebras can be used to classify finite-dimensional semisimple Hopf superalgebras. As a result, we have achieved a complete classification of semisimple Hopf superalgebras of dimension up to 10. This is joint work with Kenichi Shimizu (Shibaura Institute of Technology) and Ryota Wakao (Okayama University of Science).
