The FPP Conjecture for Real Reductive Groups

2024/11/02 by Dougal Davis, Davis, Dougal, Lucas Mason‐Brown +1 · 2 citations
Mathematics · #22E46 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2411.01372

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

Abstract

In this paper, we prove the FPP conjecture, giving a strong upper bound on the unitary dual of a real reductive group. Our proof is an application of the global generation properties of D-modules on the flag variety and their Hodge filtrations.

Cited by

• Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical
• The FPP Conjecture for p-adic Groups

Related

• The FPP Conjecture for p-adic Groups
• Unitary representations of real groups and localization theory for Hodge modules
• Vogan’s FPP conjecture for complex Lie groups
• Hodge theory, intertwining functors, and the Orbit Method for real reductive groups
• Modular reduction of complex representations of finite reductive groups