72 citations · 403 across the 46 of their papers we have counts for
21 papers · 1 filter
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 graded Cartan matrix, bound quiver and cohomology of…
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…
Universal construction in monoidal and non-monoidal settings, the Brauer envelope, and pseudocharacters
Mee Seong Im, Mikhail Khovanov, Victor Ostrik
This paper clarifies basic definitions in the universal construction of topological theories and monoidal categories. The definition of the universal construction is given for vari…
On the minimal extension and structure of weakly group-theoretical braided fusion categories
Victor Ostrik, Zhiqiang Yu
We show that any slightly degenerate weakly group-theoretical fusion category admits a minimal non-degenerate extension. Let be a positive square-free integer, given a weakly g…
On a necessary condition for unitary categorification of fusion rings
Pavel Etingof, Dmitri Nikshych, Victor Ostrik
In arXiv:1910.12059 Liu, Palcoux and Wu proved a remarkable necessary condition for a fusion ring to admit a unitary categorification, by constructing invariants of the fusion ring…
Two-dimensional topological theories, rational functions and their tensor envelopes
Mikhail Khovanov, Victor Ostrik, Yakov Kononov
We study generalized Deligne categories and related tensor envelopes for the universal two-dimensional cobordism theories described by rational functions, recently defined by Sazda…