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math.CT2023
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…
math.CT2023
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…
math.CT2023
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,…