Description |
1 online resource (v, 108 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
Series on university mathematics ; vol. 2
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Series on university mathematics ; vol. 2.
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Contents |
Lecture 1 Linear Groups and Linear Representations; 1. Basic Concepts and Definitions; 2. A Brief Overview; 3. Compact Groups, Haar Integral and the Averaging Method; 4. Frobenius-Schur Orthogonality and the Character Theory; 5. Classification of Irreducible Complex Representations of S3; 6. L2(G) and Concluding Remarks; Lecture 2 Lie Groups and Lie Algebras; 1. One-parameter Subgroups and Lie Algebras; 2. Lie Subgroups and the Fundamental Theorem of Lie; 3. Lie Homomorphisms and Simply Connected Lie Groups; 4. Adjoint Actions and Adjoint Representations. |
Summary |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Lie groups.
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Lie groups. |
Genre/Form |
Electronic books.
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Other Form: |
Print version: Hsiang, Wu Yi, 1937- Lectures on Lie groups. River Edge, NJ : World Scientific, ©2000 9810235224 (DLC) 98022021 (OCoLC)39147816 |
ISBN |
9812384782 (electronic book) |
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9789812384782 (electronic book) |
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