1Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany 2Chair of Algebra, Dept. of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 171-178
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.
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/
@article{JOLT_2020_30_1_a9,
author = {Herbert Abels and Ernest 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/JOLT_2020_30_1_a9/}
}
TY - JOUR
AU - Herbert Abels
AU - Ernest B. Vinberg
TI - Subsemigroups of Nilpotent Lie Groups
JO - Journal of Lie Theory
PY - 2020
SP - 171
EP - 178
VL - 30
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a9/
ID - JOLT_2020_30_1_a9
ER -
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%A Ernest B. Vinberg
%T Subsemigroups of Nilpotent Lie Groups
%J Journal of Lie Theory
%D 2020
%P 171-178
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2020_30_1_a9/
%F JOLT_2020_30_1_a9