12 papers
Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category
Pavel Etingof, Serina Hu
Let be an algebraically closed field of characteristic , and let be the even part of the Verlinde fusion category , the semisimplifi…
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…
Clifford and Weyl algebras in symmetric tensor categories
Pavel Etingof
Let be a symmetric tensor category over an algebraically closed field of characteristic . We study Clifford and Weyl algebras of objects of $\mathca…
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…
Classification of simple commutative algebras in the Delannoy category
Pavel Etingof, Andrew Snowden
The Delannoy category is an interesting pre-Tannakian category associated to the oligomorphic group of automorphisms of the totally ordered set . By c…
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…