32 citations · 306 across the 68 of their papers we have counts for
83 papers
A subcategory with remarkable homological properties via actions of tensor categories
Kevin Coulembier, Edmund Heng
By equipping the category of modules over a finite dimensional algebra with the action of a finite tensor category , we introduce a subcategory $\mathcal…
The Benson--Etingof--Ostrik conjecture for finite tensor categories
Kevin Coulembier, Johannes Flake
We prove that every finite symmetric tensor category over an algebraically closed field of positive characteristic admits a symmetric tensor functor to a higher Verlinde category.…
Another counterexample to the Nerves of Steel Conjecture
Kevin Coulembier
In [B2] Balmer introduced the homological spectrum of a rigid tensor-triangulated category, and had the ``nerves of steel'' not to conjecture that it was in bijection with the prim…
Maximal ideals in the finitary symmetric group algebra in characteristic two
Kevin Coulembier
In 1996, Baranov and Kleshchev classified maximal ideals in the finitary symmetric group algebra over fields of characteristic not 2. The corresponding question in characteristic~2…
Absolutely flat algebras in tensor categories
Kevin Coulembier, Alexander Sherman
We study the relation between semisimple algebras, artinian simple algebras, and artinian absolutely flat algebras in ind-completions of tensor categories (rigid abelian monoidal c…
Growth in affine Hecke categories
Kevin Coulembier, Jensen O'Sullivan, Daniel Tubbenhauer
This paper studies the asymptotic growth of tensor powers in affine Hecke categories, or equivalently of powers of Kazhdan--Lusztig basis elements in affine Hecke algebras. We prov…