On Extending Unipotent Representations to their Stabilizers

Abstract

We show that irreducible unipotent representations of split Levi subgroups of finite groups of Lie type extend to their stabilizers inside the normalizer of the given Levi subgroup. For this purpose, we extend the multiplicity-freeness theorem from regular embeddings to arbitrary isotypies.

References in corpus (1)

• Coxeter groups and automorphisms