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arXiv · 1106.4168

Algebraic supergroups with Lie superalgebras of classical type

Rita Fioresi·Fabio Gavarini
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Abstract

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 (2012), no. 1014].

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Rita Fioresi, Fabio Gavarini. 2012-07-02. Algebraic supergroups with Lie superalgebras of classical type. https://arxiv.org/abs/1106.4168

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