72 citations · 403 across the 46 of their papers we have counts for
6 papers · 1 filter
Twisted Deligne products of semisimple tensor categories
Pavel Etingof, Dmitri Nikshych, Victor Ostrik
We discuss the classification of twisted Deligne products of two semisimple tensor categories , i.e., categorifications of the tensor product of their Grothe…
On the structure of Witt groups and minimal extension conjecture
Theo Johnson-Freyd, Victor Ostrik, Zhiqiang Yu
Let be a Tannakian fusion category. For a braided fusion category over we give sufficient and necessary conditions that char…
Incompressible tensor categories
Kevin Coulembier, Pavel Etingof, Victor Ostrik
A symmetric tensor category over an algebraically closed field is incompressible if every tensor functor out of is an embedding. E.g., the categories…
Monoidal Abelian Envelopes with a quotient property
Kevin Coulembier, Pavel Etingof, Victor Ostrik +1
We study abelian envelopes for pseudo-tensor categories with the property that every object in the envelope is a quotient of an object in the pseudo-tensor category. We establish a…
On symmetric fusion categories in positive characteristic
Victor Ostrik
We propose a conjectural extension to positive characteristic case of a well known Deligne's theorem on the existence of super fiber functors. We prove our conjecture in the specia…
Tensor categories (after P. Deligne)
Victor Ostrik
These notes give an exposition of Deligne's theorem on the existense of super fiber functor.