Hyperstructures of affine algebraic group schemes
Copyright policy )Hyperstructures of affine algebraic group schemes
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
- Binghamton University United States
Group schemes, Mathematics - Number Theory, 14L15, 20N20, Group Theory (math.GR), hyperfield, hyperring, hypergroup, Mathematics - Algebraic Geometry, FOS: Mathematics, Number Theory (math.NT), affine algebraic group scheme, Hypergroups, \(F_1\)-geometry, Mathematics - Group Theory, Algebraic Geometry (math.AG)
Group schemes, Mathematics - Number Theory, 14L15, 20N20, Group Theory (math.GR), hyperfield, hyperring, hypergroup, Mathematics - Algebraic Geometry, FOS: Mathematics, Number Theory (math.NT), affine algebraic group scheme, Hypergroups, \(F_1\)-geometry, Mathematics - Group Theory, Algebraic Geometry (math.AG)
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