Ramified Satake Isomorphisms for strongly parabolic characters

2012/10/03 by Masoud Kamgarpour, Kamgarpour, Masoud, Travis Schedler +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1210.1051

arxiv created 2012/10/03 · openalex publication_date 2012/10/03 · arxiv updated 2012/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For certain characters of the compact torus of a reductive p-adic group, which we call strongly parabolic characters, we prove Satake-type isomorphisms. Our results generalize those of Satake, Howe, Bushnell and Kutzko, and Roche.

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