Lectures on Lie groups

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Lectures on Lie groups

Lectures on Lie groups

Name: Lectures on Lie groups
ISBN: 9789812384782

Wu Yi Hsiang

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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.

سب زمرہ:

Mathematics

سال:

2000

ناشر کتب:

World Scientific

زبان:

english

صفحات:

115

ISBN 10:

9812384782