Verwandte Artikel zu Lie Groups, Convex Cones and Semigroups (Oxford Mathematical...
Inhaltsangabe
The geometry of convex cones has in recent years come to play an important role in the development of the Lie theory of sub-semigroups of Lie groups. This book attempts to provide an account of this theory and indicates its wide-ranging application to representation theory of Lie groups. In the spirit of classical Lie theory, the authors first develop the infinitesimal theory of Lie sub-semigroups which culminates in a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automorphisms. The book then discusses the local Lie theory for semigroups before providing an account of the global theory for the existence of sub-semigroups with a given set of infinitesimal generators. Pre-requisites are little more than standard Lie theory and throughout many examples such as the real special linear groups, the Heisenberg group, and Lie groups containing contraction semigroups are discussed in detail. As a whole, the book should provide an accessible account of this new material and indicates its wide-ranging application to systems theory, geometric control theory, causality on homogeneous spaces, symmetric domains, and the representation theory of Lie groups.
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Reseña del editor
The geometry of convex cones has in recent years come to play an important role in the development of the Lie theory of sub-semigroups of Lie groups. This book attempts to provide an account of this theory and indicates its wide-ranging application to representation theory of Lie groups. In the spirit of classical Lie theory, the authors first develop the infinitesimal theory of Lie sub-semigroups which culminates in a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automorphisms. The book then discusses the local Lie theory for semigroups before providing an account of the global theory for the existence of sub-semigroups with a given set of infinitesimal generators. Pre-requisites are little more than standard Lie theory and throughout many examples such as the real special linear groups, the Heisenberg group, and Lie groups containing contraction semigroups are discussed in detail. As a whole, the book should provide an accessible account of this new material and indicates its wide-ranging application to systems theory, geometric control theory, causality on homogeneous spaces, symmetric domains, and the representation theory of Lie groups.
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Lie Groups, Convex Cones, and Semigroups (Oxford Mathematical Monographs)
Verlag:
Oxford University Press, 1989
ISBN 10: 0198535694
ISBN 13: 9780198535690
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Hardcover
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Anbieter: Atticus Books, Toronto, ON, Kanada
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Hardcover. Zustand: Near Fine. 1st Edition. (GR) R. Bestandsnummer des Verkäufers H-MFLIBKK99
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Lie Groups, Convex Cones, and Semigroups (Oxford Mathematical Monographs)
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Zustand: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1700grams, ISBN:0198535694. Bestandsnummer des Verkäufers 9789735
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Lie groups, convex cones, and semigroups / Joachim Hilgert, Karl Heinrich Hofmann, and Jimmie D. Lawson
ISBN 10: 0198535694
ISBN 13: 9780198535690
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Hardcover
Erstausgabe
Anbieter: MW Books, New York, NY, USA
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1st edition. Fine copy in the original gilt-blocked cloth. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xxxviii, 645 pp., illustrations, 26 cm. Subjects; Semigroups. Convex bodies. Lie groups. Algebra. Mathematics. 1 Kg. Bestandsnummer des Verkäufers 385275
Anzahl: 1 verfügbar
Foto des Verkäufers
Lie groups, convex cones, and semigroups / Joachim Hilgert, Karl Heinrich Hofmann, and Jimmie D. Lawson
ISBN 10: 0198535694
ISBN 13: 9780198535690
Gebraucht
Hardcover
Erstausgabe
Anbieter: MW Books Ltd., Galway, Irland
Verkäuferbewertung 5 von 5 Sternen
1st edition. Fine copy in the original gilt-blocked cloth. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; xxxviii, 645 pp., illustrations, 26 cm. Subjects; Semigroups. Convex bodies. Lie groups. Algebra. Mathematics. 1 Kg. Bestandsnummer des Verkäufers 385275
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Lie Groups, Convex Cones, and Semigroups (Oxford Mathematical Monographs)
Verlag:
Oxford University Press, USA, 1989
ISBN 10: 0198535694
ISBN 13: 9780198535690
Gebraucht
Hardcover
Anbieter: Mispah books, Redhill, SURRE, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Hardcover. Zustand: Like New. Like New. book. Bestandsnummer des Verkäufers ERICA75401985356945
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