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>
 
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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
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