Algebraic Supergroups with Lie Superalgebras of Classical Type
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 143-158
Voir la notice de l'article provenant de la source Heldermann Verlag
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
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},
publisher = {mathdoc},
volume = {23},
number = {1},
year = {2013},
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 PB - mathdoc 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 -
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/