6 papers
On the Drinfeld center of the Verlinde category $\Ver_p$
Shlomo Gelaki, Victor Ostrik
We provide some information about the Drinfeld center $\Z(\Ver_p)$ of the Verlinde category $\Ver_p$. We compute explicitly the Cartan matrix, bound quiver and cohomology of $\Z(\V…
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…
Tensor ideals of abelian type and quantum groups
Kevin Coulembier, Pavel Etingof, Victor Ostrik
We initiate a study of tensor ideals in linear rigid monoidal categories that are kernels of linear monoidal functors to abelian monoidal categories. We develop general methods and…
A non-semisimple Witt class
Victor Ostrik, Alexandra Utiralova
We describe several infinite families of braided finite tensor categories. A simplest example gives a non-degenerate braided tensor category which is not Witt equivalent to a semis…
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…
Fractal behavior of tensor powers of the two dimensional space in prime characteristic
Kevin Coulembier, Pavel Etingof, Victor Ostrik +1
We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and…