Geodesic
Algebraic Supergroups with Lie Superalgebras of Classical Type
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 143-158
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

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].
Classification : 14M30, 14A22, 58A50, 17B50
Mots-clés : Algebraic supergroups, Lie superalgebras 
@article{JLT_2013_23_1_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a7/}
}
TY  - JOUR
AU  - R. Fioresi
AU  - F. Gavarini
TI  - Algebraic Supergroups with Lie Superalgebras of Classical Type
JO  - Journal of Lie theory
PY  - 2013
SP  - 143
EP  - 158
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a7/
ID  - JLT_2013_23_1_JLT_2013_23_1_a7
ER  - 
%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
%U http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a7/
%F JLT_2013_23_1_JLT_2013_23_1_a7
R. Fioresi; F. Gavarini. Algebraic Supergroups with Lie Superalgebras of Classical Type. Journal of Lie theory, Tome 23 (2013) no. 1, pp. 143-158. http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a7/