Bilkent Üniversitesi Cebir Seminerleri
A Semisimplicity Criterion for Green Biset Functors, with One Application
Nadia Romero
Universidad de Guanajuato, Türkiye
We will prove a criterion giving conditions for the category of modules over a Green biset functor to be semisimple. The criterion is not hard to prove and it is useful for applications. As an example, we will see that for any fields k and F of characteristic 0 and any finite group $T$, the category of modules over the shifted Green biset functor (kR_F)_T of F-linear representations, is semisimple. This is joint work with Serge Bouc.
