10 citations · 10 across the 1 of their papers we have counts for
4 papers
On Higher Frobenius-Schur Indicators
Yevgenia Kashina, Yorck Sommerhaeuser, Yongchang Zhu
We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove var…
Computing the Frobenius-Schur indicator for abelian extensions of Hopf algebras
Yevgenia Kashina, Geoffrey Mason, Susan Montgomery
In this paper we show that for an important class of non-trivial Hopf algebras, the Schur indicator is a computable invariant. The Hopf algebras we consider are all abelian extensi…
Self-dual modules of semisimple Hopf algebras
Yevgenia Kashina, Yorck Sommerhaeuser, Yongchang Zhu
We prove that, over an algebraically closed field of characteristic zero, a semisimple Hopf algebra that has a nontrivial self-dual simple module must have even dimension. This gen…
Classification of semisimple Hopf algebras of dimension 16
Yevgenia Kashina
In this paper we completely classify nontrivial semisimple Hopf algebras of dimension 16. We also compute all the possible structures of the Grothendieck ring of semisimple non-com…