Geodesic
Solvable and unipotent supergroups
Algebra i logika, Tome 53 (2014) no. 3, pp. 323-339

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that an algebraic supergroup $G$ is unipotent iff $G_{ev}$ is unipotent. Here our reasoning involves only induction on dimension and some properties of the adjoint representation. In a similar way, it is shown that over a field of characteristic zero, a connected supergroup $G$ is solvable iff $G_{ev}$ is solvable.
Keywords: adjoint representation, algebraic supergroup, unipotent supergroup, connected supergroup.
Mots-clés : solvable supergroup 
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     author = {A. N. Zubkov and P. A. Ulyashev},
     title = {Solvable and unipotent supergroups},
     journal = {Algebra i logika},
     pages = {323--339},
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     volume = {53},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2014_53_3_a2/}
}
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A. N. Zubkov; P. A. Ulyashev. Solvable and unipotent supergroups. Algebra i logika, Tome 53 (2014) no. 3, pp. 323-339. http://geodesic.mathdoc.fr/item/AL_2014_53_3_a2/