Lectures on Lie groups /
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 b...
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Licensed eBooks |
| Kieli: | englanti |
| Julkaistu: |
River Edge, NJ :
World Scientific,
©2000.
|
| Sarja: | Series on university mathematics ;
vol. 2. |
| Linkit: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=83659 |
Sisällysluettelo:
- 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.