32 citations · 306 across the 68 of their papers we have counts for
5 papers · 2 filters
Polynomial functors in
Kevin Coulembier, Serina Hu
We study polynomial functors in the incompressible category , which can be viewed as super polynomial functors in characteristic 2. Concretely, we classify additive…
A conjecture on the tensor ideal for an elementary p-group generated by the restriction of a Steinberg module
Kevin Coulembier, Johannes Flake
In previous work (Coulembier--Flake 2024), the authors conjectured that the tensor product of an arbitrary finite-dimensional modular representation of an elementary abelian -gr…
A special class of prime ideals for infinite symmetric group algebras
Kevin Coulembier
We identify an interesting special class of prime ideals in the finitary infinite symmetric group algebra. We show that the set of such ideals carries a semiring structure. Over th…
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…
Simple algebras and exact module categories
Kevin Coulembier, Mateusz Stroiński, Tony Zorman
We verify a conjecture of Etingof and Ostrik, stating that an algebra object in a finite tensor category is exact if and only if it is a finite direct product of simple algebras. T…