32 citations · 306 across the 68 of their papers we have counts for
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Additive Grothendieck pretopologies and presentations of tensor categories
Kevin Coulembier
We define a notion on preadditive categories which plays a role similar to the notion of a Grothendieck pretopology on an unenriched category. Each such additive pretopology define…
Representation theory of a semisimple extension of the Takiff superalgebra
Shun-Jen Cheng, Kevin Coulembier
We study a semisimple extension of a Takiff superalgebra which turns out to have a remarkably rich representation theory. We determine the blocks in both the finite-dimensional and…
Freely adjoining monoidal duals
Kevin Coulembier, Ross Street, Michel van den Bergh
Given a monoidal category with an object , we construct a monoidal category by freely adjoining a right dual to . We show tha…
Some homological properties of ind-completions and highest weight categories
Kevin Coulembier
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structu…
Monoidal abelian envelopes
Kevin Coulembier
We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an exa…