Invariant Subsemigroups of Lie Groups - Couverture souple

Neeb, Karl-Hermann

Couverture souple

ISBN 10 : 0821825623 ISBN 13 : 9780821825624

Editeur : American Mathematical Society, 1993

Synopsis

This work presents the first systematic treatment of invariant Lie semi groups. Because these semi groups provide interesting models for space times in general relativity, this work will be useful to both mathematicians and physicists. It will also appeal to engineers interested in bi-invariant control systems on Lie groups. Neeb investigates closed invariant subsemigroups of Lie groups which are generated by one-parameter semi groups and the sets of infinitesimal generators of such semi groups - invariant convex cones in Lie algebras.In addition, a characterization of those finite-dimensional real Lie algebras containing such cones is obtained. The global part of the theory deals with globality problems (Lie's third theorem for semi groups), controllability problems, and the facial structure of Lie semi groups. Neeb also determines the structure of the universal compactification of an invariant Lie semigroup and shows that the lattice of idempotents is isomorphic to a lattice of faces of the cone dual to the cone of infinitesimal generators.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 0821825623
• ISBN 13: 9780821825624
• Reliure: Broché
• Nombre de pages: 193
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible