Multiplicity free Weil representations arising from exceptional groups

2024/11/02 by Marcela Hanzer, Hanzer, Marcela, Gordan Savin +1 · 1 citation
Mathematics · #22E46 #22E47 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2411.01243

openalex publication_date 2024/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using exceptional theta correspondences, we prove that certain Weil representations of p-adic groups are multiplicity free and determine irreducible quotients.

Cited by

• On the Muić conjecture--the irreducibility of the big theta lift

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• Restriction de la représentation de Weil à un sous-groupe compact maximal ou à un tore maximal elliptique
• Exceptional Theta-correspondences I
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• Modular representations of p-adic groups