Projectivity of modules for infinitesimal unipotent group schemes

2000/08/22 by Christopher P. Bendel, Bendel, Christopher P.
Mathematics · #20G05 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Primary 14L15 #Representation Theory (math.RT) #Secondary 17B50 #math.RT #msc:14L15 #msc:17B50 #msc:20G05

paper · pdf · doi:10.48550/arxiv.math/0008167

6 pages

arxiv created 2000/08/22 · openalex publication_date 2000/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, it is shown that the projectivity of a rational module for an infinitesimal unipotent group scheme over an algebraically closed field of positive characteristic can be detected on a family of closed subgroups.

Related

• Detecting nilpotence and projectivity over finite unipotent supergroup schemes
• Constructions for infinitesimal group schemes
• Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra
• Modular Representations of Profinite Groups
• Categories of modules given by varieties of p-nilpotent operators