Journal of Lie Theory 23 (2013), No. 1, 143--158
Copyright Heldermann Verlag 2013
Algebraic Supergroups with Lie Superalgebras of Classical Type
Rita Fioresi
Dip. di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy
fioresi@dm.unibo.it
Fabio Gavarini
Dip. di Matematica, Università di Roma "Tor Vergata", Via della ricerca scientifica 1, 00133 Roma, Italy
gavarini@mat.uniroma2.it
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 was defined and constructed explicitly by R. Fioresi and F. Gavarini [Chevalley Supergroups, Memoirs of the Amer. Math. Soc. 215 (2012), no. 1014].
Keywords: Algebraic supergroups, Lie superalgebras.
MSC: 14M30, 14A22; 58A50, 17B50
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