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
R. Fioresi, F. Gavarini (2013). Algebraic Supergroups with Lie Superalgebras of Classical Type. JOURNAL OF LIE THEORY, 23, 143-158.
Algebraic Supergroups with Lie Superalgebras of Classical Type
FIORESI, RITA;
2013
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 explicitlyFile in questo prodotto:
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