Lie Group Actions in Complex Analysis - Couverture souple

Akhiezer, Dimitrij

9783322802699: Lie Group Actions in Complex Analysis

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ISBN 10 : 3322802698 ISBN 13 : 9783322802699

Editeur : Vieweg+Teubner Verlag, 2011

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Diese Monographie besch�ftigt sich mit der Rolle von Lie-Gruppen in der Komplexen Analysis. Einerseits treten Lie-Gruppen als Automorphismengruppen von komplexen R�umen auf, daher sind sie eine wichtige Invariante dieser R�ume. Andererseits lassen sich mit Lie-Gruppen h�ufig allgemeine Problemstellungen explizit l�sen, zum Beispiel lassen sich globale analytische Eigenschaften homogener Mannigfaltigkeiten auf diese Weise in eine algebraische Sprache �bertragen. Das Buch richtet sich an Diplomanden, Doktoranden und Dozenten der Mathematik, die in dem aktuellen Gebiet der Lie-Gruppen arbeiten.

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� propos de l?auteur

Prof. Dr. Dimitri Akhiezer lehrt Mathematik an einer Moskauer Universit�t.

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�diteur: Vieweg+Teubner Verlag
Date d'�dition: 2011
Langue: anglais
ISBN 10: 3322802698
ISBN 13: 9783322802699
Reliure: Broch�
Nombre de pages: 216
Coordonn�es du fabricant: non disponible
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Lie Group Actions in Complex Analysis

Dimitrij Akhiezer

Edit� par Vieweg+Teubner Verlag, 2011

ISBN 10 : 3322802698 ISBN 13 : 9783322802699

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Prof. Dr. Dimitri Akhiezer lehrt Mathematik an einer Moskauer Universitaet.The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and way. N� de r�f. du vendeur 4499833

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Lie Group Actions in Complex Analysis

Dimitrij Akhiezer

Edit� par Vieweg+Teubner Verlag, 2011

ISBN 10 : 3322802698 ISBN 13 : 9783322802699

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Taschenbuch. Etat : 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. N� de r�f. du vendeur 9783322802699

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Lie Group Actions in Complex Analysis

Dimitrij Akhiezer

Edit� par Vieweg & Teubner Verlag Dez 2011, 2011

ISBN 10 : 3322802698 ISBN 13 : 9783322802699

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research. 216 pp. Englisch. N� de r�f. du vendeur 9783322802699

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Lie Group Actions in Complex Analysis

Dimitrij Akhiezer

Edit� par Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Dez 2011, 2011

ISBN 10 : 3322802698 ISBN 13 : 9783322802699

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : 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-Stra�e 46, 65189 Wiesbaden 216 pp. Englisch. N� de r�f. du vendeur 9783322802699

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