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Maximal ideals in the finitary symmetric group algebra in characteristic two
Kevin Coulembier
In 1996, Baranov and Kleshchev classified maximal ideals in the finitary symmetric group algebra over fields of characteristic not 2. The corresponding question in characteristic~2…
Absolutely flat algebras in tensor categories
Kevin Coulembier, Alexander Sherman
We study the relation between semisimple algebras, artinian simple algebras, and artinian absolutely flat algebras in ind-completions of tensor categories (rigid abelian monoidal c…
Growth in affine Hecke categories
Kevin Coulembier, Jensen O'Sullivan, Daniel Tubbenhauer
This paper studies the asymptotic growth of tensor powers in affine Hecke categories, or equivalently of powers of Kazhdan--Lusztig basis elements in affine Hecke algebras. We prov…
A special class of prime ideals for infinite symmetric group algebras
Kevin Coulembier
We identify an interesting special class of prime ideals in the finitary infinite symmetric group algebra. We show that the set of such ideals carries a semiring structure. Over th…
Perfecting group schemes
Kevin Coulembier, Geordie Williamson
We initiate a systematic study of the perfection of affine group schemes of finite type over fields of positive characteristic. The main result intrinsically characterises and clas…
On geometrically reductive tensor categories
Kevin Coulembier
We prove the conjecture that higher Verlinde categories are geometrically reductive. This is one of the two properties required in order for recent results on algebraic geometry in…