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OverviewSubsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book, which covers basic Lie theory for such semigroups and closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol'Shanskii semigroups. Applications to representation theory, symplectic geometry and Hardy spaces are also given. The book is written as a guide for those interested in subsemigroups of Lie groups and their applications in various fields of mathematics. Since it is essentially self-contained and leads directly to the core of the theory, the first part of the book can also serve as an introduction to the subject. The reader is merely expected to be familiar with the basic theory of Lie groups and Lie algebras. Full Product DetailsAuthor: Joachim Hilgert , Karl-Hermann NeebPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1993 ed. Volume: 1552 Dimensions: Width: 15.60cm , Height: 1.70cm , Length: 23.40cm Weight: 1.030kg ISBN: 9783540569541ISBN 10: 3540569545 Pages: 316 Publication Date: 29 September 1993 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsLie semigroups and their tangent wedges.- Examples.- Geometry and topology of Lie semigroups.- Ordered homogeneous spaces.- Applications of ordered spaces to Lie semigroups.- Maximal semigroups in groups with cocompact radical.- Invariant Cones and Ol'shanskii semigroups.- Compression semigroups.- Representation theory.- The theory for Sl(2).ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |