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Inhaltsangabe
Diese Monographie beschäftigt sich mit der Rolle von Lie-Gruppen in der Komplexen Analysis. Einerseits treten Lie-Gruppen als Automorphismengruppen von komplexen Räumen auf, daher sind sie eine wichtige Invariante dieser Räume. Andererseits lassen sich mit Lie-Gruppen häufig allgemeine Problemstellungen explizit lösen, zum Beispiel lassen sich globale analytische Eigenschaften homogener Mannigfaltigkeiten auf diese Weise in eine algebraische Sprache übertragen. Das Buch richtet sich an Diplomanden, Doktoranden und Dozenten der Mathematik, die in dem aktuellen Gebiet der Lie-Gruppen arbeiten.
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Prof. Dr. Dimitri Akhiezer lehrt Mathematik an einer Moskauer Universität.
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Lie Group Actions in Complex Analysis
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book was planned as an introduction to a vast area, where many contri butions have been made in recent years. The choice of material is based on my understanding of the role of Lie groups in complex analysis. On the one hand, they appear as the automorphism groups of certain complex spaces, e. g. , bounded domains in en or compact spaces, and are therefore important as being one of their invariants. On the other hand, complex Lie groups and, more generally, homoge neous complex manifolds, serve as a proving ground, where it is often possible to accomplish a task and get an explicit answer. One good example of this kind is the theory of homogeneous vector bundles over flag manifolds. Another example is the way the global analytic properties of homogeneous manifolds are translated into algebraic language. It is my pleasant duty to thank A. L. Onishchik, who first introduced me to the theory of Lie groups more than 25 years ago. I am greatly indebted to him and to E. B. Vinberg forthe help and advice they have given me for years. I would like to express my gratitude to M. Brion, B. GilIigan, P. Heinzner, A. Hu kleberry, and E. Oeljeklaus for valuable discussions of various subjects treated here. A part of this book was written during my stay at the Ruhr-Universitat Bochum in 1993. I thank the Deutsche Forschungsgemeinschaft for its research support and the colleagues in Bochum for their hospitality. Artikel-Nr. 9783322802699
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Lie Group Actions in Complex Analysis
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Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Dez 2011, 2011
ISBN 10: 3322802698
ISBN 13: 9783322802699
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Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Neuware -This book was planned as an introduction to a vast area, where many contri butions have been made in recent years. The choice of material is based on my understanding of the role of Lie groups in complex analysis. On the one hand, they appear as the automorphism groups of certain complex spaces, e. g. , bounded domains in en or compact spaces, and are therefore important as being one of their invariants. On the other hand, complex Lie groups and, more generally, homoge neous complex manifolds, serve as a proving ground, where it is often possible to accomplish a task and get an explicit answer. One good example of this kind is the theory of homogeneous vector bundles over flag manifolds. Another example is the way the global analytic properties of homogeneous manifolds are translated into algebraic language. It is my pleasant duty to thank A. L. Onishchik, who first introduced me to the theory of Lie groups more than 25 years ago. I am greatly indebted to him and to E. B. Vinberg forthe help and advice they have given me for years. I would like to express my gratitude to M. Brion, B. GilIigan, P. Heinzner, A. Hu kleberry, and E. Oeljeklaus for valuable discussions of various subjects treated here. A part of this book was written during my stay at the Ruhr-Universitat Bochum in 1993. I thank the Deutsche Forschungsgemeinschaft for its research support and the colleagues in Bochum for their hospitality.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 216 pp. Englisch. Artikel-Nr. 9783322802699
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Lie Group Actions in Complex Analysis (Aspects of Mathematics)
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. reprint edition. 210 pages. 8.98x0.55x6.30 inches. In Stock. Artikel-Nr. 3322802698
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