Speaker: Gaëtan Mancini (Wuppertal)
Title: Multiplicity-Free Tensor Products for Simple Algebraic Groups
Abstract:
Let \(G\) be a simple algebraic group. A \(G\)-module is called multiplicity-free if all its composition factors are distinct. In this talk, we will discuss techniques for classifying multiplicity-free tensor products of simple modules, and we will show how this notion can give us information about the structure of these tensor products. As an application of these methods, we will discuss the classification in the case of \(SL_3\).