On the local constancy of characters

2004/08/31 by Jonathan Korman, Korman, Jonathan
Mathematics · #20G25 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Finite Group Theory Research #Primary 22E50 #Representation Theory (math.RT) #Secondary 22E35 #math.RT #msc:20G25 #msc:22E35 #msc:22E50

paper · pdf · doi:10.48550/arxiv.math/0408432

13 pages, corrected typos, minor changes to content

openalex publication_date 2004/08/31 · arxiv created 2005/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The character of an irreducible admissible representation of a p-adic reductive group is known to be a constant function in some neighborhood of any regular semisimple element γ in the group. Under certain mild restrictions on γ, we give an explicit description of a neighborhood of γ on which the character is constant.

Related

• Asymptotics and local constancy of characters of p-adic groups
• Characters of locally analytic representations of p-adic reductive groups
• Local Summability of Characters on p-adic Reductive Groups
• Local characters of mod-ℓ representations of a p-adic reductive group
• Local character expansion for mod-ℓ representations