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math.RT2024
Inductive systems of the symmetric group, polynomial functors and tensor categories
Kevin Coulembier
We initiate the systematic study of modular representations of symmetric groups that arise via the braiding in (symmetric) tensor categories over fields of positive characteristic.…
math.RT2024
Towards higher Frobenius functors for symmetric tensor categories
Kevin Coulembier, Johannes Flake
We develop theory and examples of monoidal functors on tensor categories in positive characteristic that generalise the Frobenius functor from \cite{Os, EOf, Tann}. The latter has…
math.RT2024★ 1 cited
Fractal behavior of tensor powers of the two dimensional space in prime characteristic
Kevin Coulembier, Pavel Etingof, Victor Ostrik +1
We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and…