Lectures On Lie Groups
by
Wu-yi Hsiang
Book Details
Format
Paperback / Softback
Book Series
Series On University Mathematics
ISBN-10
9810235291
ISBN-13
9789810235291
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Mar 22nd, 2000
Print length
116 Pages
Weight
174 grams
Dimensions
21.50 x 15.40 x 0.60 cms
Product Classification:
AlgebraGroups & group theoryGroups and group theoryNumber theory
Ksh 4,150.00
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An introduction to the theory of compact connected Lie groups and their representations, and a presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a balance between the algebraic and geometric aspects of Lie theory.
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.
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