Algebraic supergroups with Lie superalgebras of classical type

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].

La-TeX file, 17 pages. Final accepted version (after the referee's remarks). To appear in "Journal of Lie Theory"

References in corpus (1)

• Super Distributions, Analytic and Algebraic Super Harish-Chandra pairs

Cited by in corpus (4)

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• SUSY structures, representations and Peter-Weyl theorem for $S^{1|1}$
• Highest weight Harish-Chandra supermodules and their geometric realizations. I. The infinitesimal theory
• Compact forms of Complex Lie Supergroups