Geodesic
Subsemigroups of Nilpotent Lie Groups
Journal of Lie theory, Tome 30 (2020) no. 1, pp. 171-178
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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 
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     author = {H. Abels and E. B. Vinberg},
     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/JLT_2020_30_1_JLT_2020_30_1_a9/}
}
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H. Abels; E. B. Vinberg. Subsemigroups of Nilpotent Lie Groups. Journal of Lie theory, Tome 30 (2020) no. 1, pp. 171-178. http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a9/