Lectures On Lie Groups: 2 (Series On University Mathematics)

Hsiang, Wu-yi

ISBN 10: 9810235291 / ISBN 13: 9789810235291

Verlag: World Scientific Publishing Co P, 2000

Beschreibung

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Bestandsnummer des Verkäufers mon0000861881

Bibliografische Details

• Titel: Lectures On Lie Groups: 2 (Series On University Mathematics)
• Verlag: World Scientific Publishing Co P
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 9810235291
• ISBN-13: 9789810235291
• Einband: Paperback
• Zustand: Very Good

Über diesen Titel

Inhaltsangabe

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of É. Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.

Reseña del editor

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of E. Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.