7 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…
Bernstein inequality and holonomic modules
Ivan Losev, Pavel Etingof
In this paper we study the representation theory of filtered algebras with commutative associated graded whose spectrum has finitely many symplectic leaves. Examples are provided b…
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…