Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic

Gaëtan Mancini

paper

Multiplicity-free tensor products of irreducible modules over simple algebraic groups in positive characteristic

arXiv:2410.07179

Abstract

Let $k$ be an algebraically closed field of characteristic $p > 0$ . In this master thesis, we classify multiplicity-free tensor products of simple modules for the groups $S L_{2} (k)$ and $S L_{3} (k)$ . We also provide a classification for $S L_{n} (k)$ when $p = 2$ and give partial results in the case of $S p_{4} (k)$ .

arXiv commentMaster's thesis