Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 30 (2020), No. 1, 171--178
Copyright Heldermann Verlag 2020

Subsemigroups of Nilpotent Lie Groups

Herbert Abels
Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany

Ernest B. Vinberg
Chair of Algebra, Dept. of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia

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.

Keywords: Topological group, semigroup, nilpotent Lie group.

MSC: 22E25, 20M20.

[ Fulltext-pdf  (100  KB)] for subscribers only.