Subsemigroups of Nilpotent Lie Groups
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 171-178

Voir la notice de l'article provenant de la source Heldermann Verlag

For a closed subsemigroup S of a simply connected nilpotent Lie group G, we prove that either S is a subgroup, or there is an epimorphism f from G to the reals R such that f(s) ≥ 0 for all s of S.
Classification : 22E25, 20M20
Mots-clés : Topological group, semigroup, nilpotent Lie group

Herbert Abels  1   ; Ernest B. Vinberg  2

1 Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
2 Chair of Algebra, Dept. of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia
Herbert Abels; Ernest B. Vinberg. Subsemigroups of Nilpotent Lie Groups. Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 171-178. http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a9/
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     title = {Subsemigroups of {Nilpotent} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {171--178},
     year = {2020},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a9/}
}
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