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OverviewThis work presents the first systematic treatment of invariant Lie semigroups. Because these semigroups provide interesting models for spacetimes in general relativity, this work will be useful to both mathematicians and physicists. It will also appeal to engineers interested in investigates closed invariant subsemigroups of Lie groups which are generated by one-parameter semigroups and the sets of infinitesimal generators of such semigroups-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 semigroups), controllability problems, and the facial structure of Lie semigroups. 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. Full Product DetailsAuthor: Karl-Hermann NeebPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 499 Weight: 0.369kg ISBN: 9780821825624ISBN 10: 0821825623 Pages: 193 Publication Date: 30 June 1993 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsIntroduction Invariant cones in $K$-modules Lie algebras with cone potential Invariant cones in Lie algebras Faces of Lie semigroups Compactifications of subsemigroups of locally compact groups Invariant subsemigroups of Lie groups Controllability of invariant wedges Globality of invariant wedges Bohr compactifications The unit group of $S^\flat$ Faces and idempotents Examples and special cases References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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