Hyperstructures of Affine Algebraic Group Schemes

2015/10/10 by Jaiung Jun, Jun, Jaiung
Computer Science · Mathematics · #14L15 #20N20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1510.02979

openalex publication_date 2015/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We impose a rather unknown algebraic structure called a `hyperstructure' to the underlying space of an affine algebraic group scheme. This algebraic structure generalizes the classical group structure and is canonically defined by the structure of a Hopf algebra of global sections. This paper partially generalizes the result of A.Connes and C.Consani

Related

• Some structure theorems for algebraic groups
• Affine Structures on a Ringed Space and Schemes
• Structures induced on transversals to a subgroup of a group and hypergroups over the group
• On the equations defining affine algebraic groups
• Higher Algebraic Structures and General Field Theories