50 citations · 173 across the 33 of their papers we have counts for
41 papers
On the finite generation of the cohomology of abelian extensions of Hopf algebras
Nicolás Andruskiewitsch, Sonia Natale
A finite-dimensional Hopf algebra is called quasi-split if it is Morita equivalent to a split abelian extension of Hopf algebras. Combining results of Schauenburg and Negron, it is…
A class of finite-by-cocommutative Hopf algebras
Nicolás Andruskiewitsch, Sonia Natale, Blas Torrecillas
We present a rich source of Hopf algebras starting from a cofinite central extension of a Noetherian Hopf algebra and a subgroup of the algebraic group of characters of the central…
On the notion of exact sequence: from Hopf algebras to tensor categories
Sonia Natale
We present an overview of the notions of exact sequences of Hopf algebras and tensor categories and their connections. We also present some examples illustrating their main feature…
A class of prime fusion categories of dimension
Jingcheng Dong, Sonia Natale, Hua Sun
We study a class of strictly weakly integral fusion categories , where is a natural number and is a th root of unity, that we call -Isin…
Extensions of tensor categories by finite group fusion categories
Sonia Natale
We study exact sequences of finite tensor categories of the form $\Rep G \to \C \to \D$, where is a finite group. We show that, under suitable assumptions, there exists a group…
The core of a weakly group-theoretical braided fusion category
Sonia Natale
We show that the core of a weakly group-theoretical braided fusion category $\C$ is equivalent as a braided fusion category to a tensor product $\B \boxtimes \D$, where $\D$ is a p…