Lectures on Lie Groups (University Mathematics , Vol 2, Band 2)

Hsiang, Wu Yi

ISBN 10: 9810235291 / ISBN 13: 9789810235291

Published by World Scientific Publishing Company, 2000

About this Item

Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Seller Inventory # M09810235291-V

Bibliographic Details

• Title: Lectures on Lie Groups (University Mathematics , Vol 2, Band 2)
• Publisher: World Scientific Publishing Company
• Publication Date: 2000
• Language: English
• ISBN 10: 9810235291
• ISBN 13: 9789810235291
• Binding: Soft cover
• Condition: very good

About this title

Synopsis

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.

Product Description

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.