Algebraic supergroups with Lie superalgebras of classical type
Rings and Algebras
2012-09-04 v4 Algebraic Geometry
Representation Theory
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 AMS 215 (2012), no. 1014].
Cite
@article{arxiv.1106.4168,
title = {Algebraic supergroups with Lie superalgebras of classical type},
author = {Rita Fioresi and Fabio Gavarini},
journal= {arXiv preprint arXiv:1106.4168},
year = {2012}
}
Comments
La-TeX file, 17 pages. Final accepted version (after the referee's remarks). To appear in "Journal of Lie Theory"