Multiplicity free and completely reducible tensor products for ${\mathrm{SL}}_3(\mathbb{k})$ and ${\mathrm{Sp}}_4(\mathbb{k})$

Jonathan Gruber, Gaëtan Mancini

Let $G$ be a simple algebraic group over an algebraically closed field $\mathbb{k}$ of positive characteristic. We consider the questions of when the tensor product of two simple $G$-mo…