72 citations · 403 across the 46 of their papers we have counts for
23 papers · 1 filter
A non-semisimple Witt class
Victor Ostrik, Alexandra Utiralova
We describe several infinite families of braided finite tensor categories. A simplest example gives a non-degenerate braided tensor category which is not Witt equivalent to a semis…
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…
Asymptotic properties of tensor powers in symmetric tensor categories
Kevin Coulembier, Pavel Etingof, Victor Ostrik
Let G be a group and V a finite dimensional representation of G over an algebraically closed field k of characteristic p>0. Let be the number of indecomposable summands of…
Growth rates of the number of indecomposable summands in tensor powers
Kevin Coulembier, Victor Ostrik, Daniel Tubbenhauer
In this paper we study the asymptotic behavior of the number of summands in tensor products of finite dimensional representations of affine (semi)group (super)schemes and related o…
Super invariant theory in positive characteristic
Kevin Coulembier, Pavel Etingof, Alexander Kleshchev +1
We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor supers…
On Frobenius exact symmetric tensor categories
Kevin Coulembier, Pavel Etingof, Victor Ostrik
A fundamental theorem of P. Deligne (2002) states that a pre-Tannakian category over an algebraically closed field of characteristic zero admits a fiber functor to the category of…