Algebraic supergroups with Lie superalgebras of classical type

Mathematics – Rings and Algebras

Scientific paper

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La-TeX file, 19 pages. Entirely revised version

Scientific paper

We show that every connected affine algebraic supergroup defined over a field k, with diagonalizable maximal torus and whose tangent Lie superalgebra is a k-form of a complex simple Lie superalgebra of classical type is a Chevalley supergroup, as it is defined and constructed explicitly in [R. Fioresi, F. Gavarini, "Chevalley Supergroups", Memoirs of the AMS 215, no. 1014 (2012) - posted online on May 3, 2011 - PII: S 0065-9266(2011)00633-7 / DOI: http://dx.doi.org/10.1090/S0065-9266-2011-00633-7

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