2024/07/04 by Paul Broussous, Broussous, Paul
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2407.03714
openalex publication_date 2024/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G/H be a Galois symmetric space for an unramified quadratic extension of a locally compact field F, where the group H is semisimple, simply connected, defined and split over F. We prove that there exists a subgroup Γ= Γ(G/H) of the group of invertible elements of the Iwahori-Hecke algebra \mathcal H of G such that an Iwahori-spherical representation of G is H-distinguished if and only if the corresponding Iwahori-Hecke module is "Γ-distinguished".