2013/04/02 by Akira Masuoka, Masuoka, Akira, Taiki Shibata +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.1304.0531
We prove a category equivalence between algebraic supergroups and Harish-Chandra pairs over a commutative ring which is 2-torsion free. The result is applied to re-construct the Chevalley ℤ-supergroups constructed by Fioresi and Gavarini [8] and by Gavarini [9, 10]. For a wide class of algebraic supergroups we describe their representations by using their super-hyperalgebras.