Journal of Lie Theory

no. 1
Algebraic Supergroups with Lie Superalgebras of Classical Type
Journal of Lie Theory, Volume 23 (2013) no. 1, pp. 143-158
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].
DOI: 10.5802/jolt.720
Classification: 14M30, 14A22, 58A50, 17B50
Keywords: Algebraic supergroups, Lie superalgebras 
@article{JOLT_2013_23_1_a7,
     author = {R. Fioresi and F. Gavarini},
     title = {Algebraic {Supergroups} with {Lie} {Superalgebras} of {Classical} {Type}},
     journal = {Journal of Lie Theory},
     pages = {143--158},
     year = {2013},
     volume = {23},
     number = {1},
     doi = {10.5802/jolt.720},
     zbl = {1297.14057},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.720/}
}
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AU  - F. Gavarini
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%0 Journal Article
%A R. Fioresi
%A F. Gavarini
%T Algebraic Supergroups with Lie Superalgebras of Classical Type
%J Journal of Lie Theory
%D 2013
%P 143-158
%V 23
%N 1
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%R 10.5802/jolt.720
%F JOLT_2013_23_1_a7
R. Fioresi; F. Gavarini. Algebraic Supergroups with Lie Superalgebras of Classical Type. Journal of Lie Theory, Volume 23 (2013) no. 1, pp. 143-158. doi: 10.5802/jolt.720

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