3 papers
math.GR2026
On the separability of some Green biset functors
Serge Bouc, Nadia Romero
We show that the Green biset functor of complex characters over , is not separable, i.e. it is not projective as a bimodule over itself. Also, we show…
math.RT2026
Hochschild cohomology for functors on linear symmetric monoidal categories
Nadia Romero
Let be a commutative ring with unit. We develop a Hochschild cohomology theory in the category of linear functors defined from an essentially small symmetric mono…
math.CT2025
Koszul resolution for linear monoidal functors
Serge Bouc, Nadia Romero
We introduce regular sequences and associated Koszul resolutions for monoids in the category of functors over an essentially small linear symmetric monoidal category. Next we defin…