32 citations · 306 across the 68 of their papers we have counts for
13 papers · 1 filter
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…
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…
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…
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…
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,…