Saturation rank for finite group schemes: Finite groups and Infinitesimal group schemes

2017/01/11 by Yang Pan, Pan, Yang
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.1701.02951

arxiv created 2017/01/11 · openalex publication_date 2017/01/11 · arxiv updated 2017/01/12 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We investigate the saturation rank of a finite group scheme, defined over an algebraically closed field \Bk of positive characteristic p. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group \SL_n.

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