32 citations · 306 across the 68 of their papers we have counts for
8 papers · 1 filter
Tensor ideals, Deligne categories and invariant theory
Kevin Coulembier
We derive several tools for classifying tensor ideals in monoidal categories. We use these results to classify tensor ideals in Deligne's universal categories RepO, RepGL and RepP.…
Ringel duality and Auslander-Dlab-Ringel algebras
Kevin Coulembier
We introduce a new class of quasi-hereditary algebras, containing in particular the Auslander-Dlab-Ringel (ADR) algebras. We show that this new class of algebras is preserved under…
Rigidity of tilting modules in category O
Kevin Coulembier
In this note we give an overview of rigidity properties and Loewy lengths of tilting modules in the BGG category O associated to a reductive Lie algebra. These results are well-kno…
Indecomposable manipulations with simple modules in category O
Kevin Coulembier, Volodymyr Mazorchuk, Xiaoting Zhang
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category for , as conjectured in \cite{KiM}…
Gorenstein homological algebra for rngs and Lie superalgebras
Kevin Coulembier
We generalise notions of Gorenstein homological algebra for rings to the context of arbitrary abelian categories. The results are strongest for module categories of rngs with enoug…
The periplectic Brauer algebra III: The Deligne category
Kevin Coulembier, Michael Ehrig
We construct a faithful categorical representation of an infinite Temperley-Lieb algebra on the periplectic analogue of Deligne's category. We use the corresponding combinatorics t…