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].
2013
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
Algebraic supergroups; Lie superalgebras
http://www.mat.uniroma2.it/~gavarini/page-web_files/references-data/32-pdf.zip
Fioresi, R., Gavarini, F. (2013). Algebraic Supergroups with Lie Superalgebras of Classical Type. JOURNAL OF LIE THEORY, 23(1), 143-158.
Fioresi, R; Gavarini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/83047
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