This textbook is ideal for advanced undergraduate or first-graduate students who want to learn the fundamentals of Lie groups. It covers the principles behind the theory and includes numerous applications and examples. The author's approach is unique - where some texts develop Lie group theory from matrix groups, differential geometry plays a more prominent role in this book. Most students will not have a background in differential geometry and for that reason, the authors have included an introduction to the topic that begins at the ground level. Each section engages the reader in an in-depth instruction on some of the most important, yet basic principles of Lie theory. In addition to these core topics, the authors include more recent research.
Students gain the ability to work through problems following the basic principles of Lie theory, understand references to Lie theoretic concepts, and easily move on to more advanced topics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book introduces Lie groups and their actions on manifolds and provides in-depth applications of fundamental principles, while remaining accessible to a range of mathematicians and graduate students. Includes appendices on theory and multilinear algebra.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Trade paperback. Etat : New in new dust jacket. First edition. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. 746 p. Springer Monographs in Mathematics. Audience: Professional and scholarly. N° de réf. du vendeur K686A0001075
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Soft cover. Etat : New. Etat de la jaquette : New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. N° de réf. du vendeur ABE-1469401080516
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity.This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference. 756 pp. Englisch. N° de réf. du vendeur 9781489990068
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Taschenbuch. Etat : Neu. Neuware -This self-containedtext is an excellent introductionto Lie groups and their actions on manifolds. Theauthors start withan elementarydiscussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity.This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 756 pp. Englisch. N° de réf. du vendeur 9781489990068
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity.This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference. N° de réf. du vendeur 9781489990068
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