32 citations · 306 across the 68 of their papers we have counts for
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math.CT2021★ 1 cited
Homological kernels of monoidal functors
Kevin Coulembier
We show that each rigid monoidal category A over a field defines a family of universal tensor categories, which together classify all faithful monoidal functors from A to tensor ca…
math.RT2021★ 1 cited
On Frobenius exact symmetric tensor categories
Kevin Coulembier, Pavel Etingof, Victor Ostrik
A fundamental theorem of P. Deligne (2002) states that a pre-Tannakian category over an algebraically closed field of characteristic zero admits a fiber functor to the category of…
math.CT2021★ 1 cited
Monoidal Abelian Envelopes with a quotient property
Kevin Coulembier, Pavel Etingof, Victor Ostrik +1
We study abelian envelopes for pseudo-tensor categories with the property that every object in the envelope is a quotient of an object in the pseudo-tensor category. We establish a…