On abstract representations of the groups of rational points of algebraic groups in positive characteristic

2016/03/10 by Mitya Boyarchenko, Igor A. Rapinchuk, Boyarchenko, Mitya +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT) #math.AG #math.GR #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1603.03271

arxiv created 2016/03/10 · openalex publication_date 2016/03/10 · arxiv updated 2016/03/11 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We analyze the structure of a large class of connected algebraic rings over an algebraically closed field of positive characteristic using Greenberg's perfectization functor. We then give applications to rigidity problems for representations of Chevalley groups, recovering, in particular, a rigidity theorem of Seitz.

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