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On Extending Unipotent Representations to their Stabilizers

2020/12/04 by Matthias Klupsch, Klupsch, Matthias
Computer Science · Mathematics · #20C33 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Representation Theory (math.RT) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2012.02580

openalex publication_date 2020/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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