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Bestseller
BestsellerE-book
Author Hsiang, Wu Yi, 1937-

Title Lectures on Lie groups / Wu-Yi Hsiang.

Publication Info. River Edge, NJ : World Scientific, [2000]
©2000

Item Status

Description 1 online resource (v, 108 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Series on university mathematics ; vol. 2
Series on university mathematics ; vol. 2.
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.
Lie groups.
Genre/Form Electronic books.
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)
9789812384782 (electronic book)