Tame tori in p-adic groups and good semisimple elements

2018/01/15 by Jessica Fintzen, Fintzen, Jessica · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1801.04955

openalex publication_date 2018/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a reductive group over a non-archimedean local field k. We provide necessary conditions and sufficient conditions for all tori of G to split over a tamely ramified extension of k. We then show the existence of good semisimple elements in every Moy-Prasad filtration coset of the group G(k) and its Lie algebra, assuming the above sufficient conditions are met.

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• An introduction to representations of p-adic groups

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