23 citations · 45 across the 9 of their papers we have counts for
11 papers
On Isomorphisms between Certain Yetter-Drinfel'd Hopf Algebras
Yevgenia Kashina, Yorck Sommerhaeuser
For two families of Yetter-Drinfel'd Hopf algebras considered earlier by the authors, we determine which of them are isomorphic. We also determine which of their Radford biproducts…
On Biproducts and Extensions
Yevgenia Kashina, Yorck Sommerhaeuser
We describe in which ways the Radford biproducts of certain eight-dimensional Yetter-Drinfel'd Hopf algebras over the elementary abelian group of order 4 can be written as extensio…
Sós Permutations
Sarah Bockting-Conrad, Yevgenia Kashina, T. Kyle Petersen +1
Let for fixed real parameters and . For any positive integer , define the Sós permutation to be the lexicographically first permutation such tha…
On Cores in Yetter-Drinfel'd Hopf Algebras
Yevgenia Kashina, Yorck Sommerhaeuser
By constructing explicit examples, we show that the core of a group-like element in a cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra over the group ring of a finite abeli…
On semisimple Hopf algebras of dimension , II
Yevgenia Kashina
In this paper we classify, up to equivalence, all semisimple nontrivial Hopf algebras of dimension for over an algebraically closed field of characteristic …
Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2
Paul Bruillard, César Galindo, Seung-Moon Hong +5
We classify integral modular categories of dimension pq^4 and p^2q^2 where p and q are distinct primes. We show that such categories are always group-theoretical except for categor…