Hyperstructures of affine algebraic group schemes

JOURNAL OF NUMBER THEORY

卷:167

Article

Jun, Jaiung¹ 

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

关键词: Hyperfield;    Hyperring;    Hypergroup;    Affine algebraic group scheme;    F-1-Geometry;   

DOI  :  10.1016/j.jnt.2016.03.016

来源: Elsevier

【 摘 要 】

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 in [1]. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free