ENGLISH

Lectures on Lie Groups (University Mathematics , Vol 2)

By Wu Yi Hsiang

Book information

Publisher
World Scientific Pub Co Inc
Year
1998
ISBN
9810235291, 9789810235291
Open Library ID
OL9194839M
Language
english
Format
PDF
Filesize
4 MB (4496111 bytes)
Pages
115\115
Orientation
no
Scanned
yes
Time added
2012-02-04 16:00:00

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.

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