1Dip. di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy 2Dip. di Matematica, Università di Roma "Tor Vergata", Via della ricerca scientifica 1, 00133 Roma, Italy
Journal of Lie Theory, Tome 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].
1
Dip. di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40127 Bologna, Italy
2
Dip. di Matematica, Università di Roma "Tor Vergata", Via della ricerca scientifica 1, 00133 Roma, Italy
Rita Fioresi; Fabio 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/JOLT_2013_23_1_a7/
@article{JOLT_2013_23_1_a7,
author = {Rita Fioresi and Fabio 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/JOLT_2013_23_1_a7/}
}
TY - JOUR
AU - Rita Fioresi
AU - Fabio 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/JOLT_2013_23_1_a7/
ID - JOLT_2013_23_1_a7
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%T Algebraic Supergroups with Lie Superalgebras of Classical Type
%J Journal of Lie Theory
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%P 143-158
%V 23
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%U http://geodesic.mathdoc.fr/item/JOLT_2013_23_1_a7/
%F JOLT_2013_23_1_a7
