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
Algebraic Supergroups with Lie Superalgebras of Classical Type / R. Fioresi; F. Gavarini. - In: JOURNAL OF LIE THEORY. - ISSN 0949-5932. - STAMPA. - 23:(2013), pp. 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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