483 citations · 1.7k across the 181 of their papers we have counts for
34 papers · 1 filter
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…
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…
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…
Finite symmetric algebras in tensor categories and Verlinde categories of algebraic groups
Kevin Coulembier, Pavel Etingof, Joseph Newton
We investigate objects in symmetric tensor categories that have simultaneously finite symmetric and finite exterior algebra. This forces the characteristic of the base field to be…
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…
Bounds for asymptotic characters of simple Lie groups
Pavel Etingof, Eric Rains
An important function attached to a complex simple Lie group is its asymptotic character (where are real (co)weights of ) - the Fourier transform in of it…