21 citations · 54 across the 9 of their papers we have counts for
10 papers
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II
Simon Lentner, Svea Nora Mierach, Christoph Schweigert +1
In the first part of this work, we have, for a not necessarily semisimple modular category, generalized the action of the mapping class groups of surfaces on the spaces of conforma…
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…
Triviality Theorems for Yetter-Drinfel'd Hopf Algebras
Yorck Sommerhaeuser
Under suitable assumptions on the base field, we prove that a commutative semisimple Yetter-Drinfel'd Hopf algebra over a finite abelian group is trivial, i.e., is an ordinary Hopf…
On the Notion of a Ribbon Quasi-Hopf Algebra
Yorck Sommerhaeuser
We show that two competing definitions of a ribbon quasi-Hopf algebra are actually equivalent. Along the way, we look at the Drinfel'd element from a new perspective and use this v…
On the Central Charge of a Factorizable Hopf Algebra
Yorck Sommerhaeuser, Yongchang Zhu
For a semisimple factorizable Hopf algebra over a field of characteristic zero, we show that the value that an integral takes on the inverse Drinfel'd element differs from the valu…