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 Amer. Math. Soc. 215 (2012), no. 1014].
Fioresi, R., Gavarini, F. (2013). Algebraic Supergroups with Lie Superalgebras of Classical Type. JOURNAL OF LIE THEORY, 23(1), 143-158.
Algebraic Supergroups with Lie Superalgebras of Classical Type
GAVARINI, FABIO
2013-01-01
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 Amer. Math. Soc. 215 (2012), no. 1014].File in questo prodotto:
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