Speaker: Caroline Lassueur (Kaiserslautern)
Title: Reading Trivial Source Modules from the Brauer Tree
Abstract:
The aim of this talk is to present a classification of the trivial source modules lying in a block \(B\) of a finite group with non-trivial cyclic defect groups. To achieve this goal, we rely on the classification of the indecomposable and of the indecomposable liftable \(B\)-modules, both of which are determined up to Morita equivalence, hence by the Brauer tree. Trivial source modules are invariant under the stronger source-algebra equivalences, but not under Morita equivalences in general, so that apart from the Brauer tree further parameters come into play. This is joint work with Gerhard Hiß.