483 citations · 1.7k across the 181 of their papers we have counts for
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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…
Rigidity of non-negligible objects of moderate growth in braided categories
Pavel Etingof, David Penneys
Let be a field, and let be a Cauchy complete -linear braided category with finite dimensional morphism spaces and . We call an indecompos…
Pull-back and push-forward functors for holonomic modules over Cherednik algebras
Gwyn Bellamy, Pavel Etingof, Daniel Thompson
In this article we continue the study of holonomic modules over sheaves of Cherednik algebras, initiated by the third author in [Tho18]. Under mild assumptions on the parameters, w…
A brief introduction to quantum groups
Pavel Etingof, Mykola Semenyakin
These are lecture notes of a mini-course given by the first author in Moscow in July 2019, taken by the second author and then edited and expanded by the first author. They were al…
Lectures on Symmetric Tensor Categories
Pavel Etingof, Arun S. Kannan
This is an expanded version of the notes by the second author of the lectures on symmetric tensor categories given by the first author at Ohio State University in March 2019 and la…
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…