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arxiv: 1510.02979 · v1 · pith:6QNCBPZNnew · submitted 2015-10-10 · 🧮 math.AG · math.GR· math.NT

Hyperstructures of Affine Algebraic Group Schemes

classification 🧮 math.AG math.GRmath.NT
keywords algebraicstructuregroupaffinegeneralizesalgebracalledcanonically
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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

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