TECHNION FACULTY OF MATHEMATICS ALGEBRA SEMINAR SPEAKER: Yevgeny Musicantov (Technion) TOPIC: On p^n dimensional semisimple Hopf algebras using reduction of extensions to equivariantizations DATE: Thursday, Dec 30, 2010 TIME: 12:30 PLACE: Amado 719 Abstract: Let G be a finite group and let D be a fusion category. Consider the following situation, C is a G-extension of D and M is an indecomposable C-module category, such that, its restriction to D remains indecomposable. We prove that the dual C*_M is a G-equivariantization of D*_M. We apply the above theorem to the classification problem of the p^n-dimensional semisimple Hopf algebras. We completely classify the p^3-dimensional Hopf algebras, recovering the result of Masuoka. <http://www.technion.ac.il/~neftind/algebra_seminar.htm> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Jack Sonn <sonn@math.technion.ac.il>