32 citations · 306 across the 68 of their papers we have counts for
7 papers · 1 filter
N-spherical functors and tensor categories
Kevin Coulembier, Pavel Etingof
We apply the recently introduced notion, due to Dyckerhoff, Kapranov and Schechtman, of -spherical functors of stable infinity categories, which generalise spherical functors, t…
Algebraic geometry in tensor categories
Kevin Coulembier
We set up some foundations of generalised scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between super schemes and the c…
Incompressible tensor categories
Kevin Coulembier, Pavel Etingof, Victor Ostrik
A symmetric tensor category over an algebraically closed field is incompressible if every tensor functor out of is an embedding. E.g., the categories…
Commutative algebra in tensor categories
Kevin Coulembier
We develop some foundations of commutative algebra, with a view towards algebraic geometry, in symmetric tensor categories. Most results establish analogues of classical theorems,…
K-theory and perfection
Kevin Coulembier
We review some recent results on -theory of perfection of commutative $\mF_p$-algebras and provide an alternative proof.
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…