Speaker: Baptiste Rognerud (Lausanne)

Title: Symmetry of the Mackey Algebra

Abstract:

Let $$G$$ be a finite group. Let $$R$$ be a commutative ring. The Mackey algebra and the group algebra share a lot of properties. However, while the group algebra is always symmetric, this is not the case of the Mackey algebra.

In this talk we present a systematic approach to the question of the symmetry of the Mackey algebra. Using tools of monoidal categories this question is reduced to a question on the usual Burnside ring.