32 citations · 306 across the 68 of their papers we have counts for
9 papers · 1 filter
Tensor ideals of abelian type and quantum groups
Kevin Coulembier, Pavel Etingof, Victor Ostrik
We initiate a study of tensor ideals in linear rigid monoidal categories that are kernels of linear monoidal functors to abelian monoidal categories. We develop general methods and…
Universal properties of Delannoy categories
Kevin Coulembier, Nate Harman, Andrew Snowden
Recently, the second and third authors introduced a new symmetric tensor category associated to an oligomorphic group with a measure . When…
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…
Invertible exterior powers
Kevin Coulembier
We present a proof of the fact that in a symmetric monoidal category over a field of characteristic zero, objects with an invertible exterior power are rigid. As an application we…
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…