Artículos relacionados a LECTURES ON LIE GROUPS: 2 (SERIES ON UNIVERSITY MATHEMATICS)

LECTURES ON LIE GROUPS: 2 (SERIES ON UNIVERSITY MATHEMATICS) - Tapa blanda

Hsiang, W Y

 
9789810235291: LECTURES ON LIE GROUPS: 2 (SERIES ON UNIVERSITY MATHEMATICS)
Tapa blanda
ISBN 10: 9810235291 ISBN 13: 9789810235291
Editorial: World Scientific, 2000

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

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.

Reseña del editor

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 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 the G to the Weyl group action on a chosen maximal torus are presented as the key results that provide an understanding of the orbital geometry.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
World Scientific
Año de publicación
2000
Idioma
Inglés
ISBN 10 
9810235291
ISBN 13 
9789810235291
Encuadernación
Tapa blanda
Número de páginas
116
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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