Lie Groups, Physics, and Geometry

Produktbeschreibung

Introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering. 

Inhaltsverzeichnis

1. Introduction; 2. Lie groups; 3. Matrix groups; 4. Lie algebras; 5. Matrix
algebras; 6. Operator algebras; 7. Exponentiation; 8. Structure theory for Lie
algebras; 9. Structure theory for simple Lie algebras; 10. Root spaces and Dykin
diagrams; 11. Real forms; 12. Riemannian symmetric spaces; 13. Contraction; 14.
Hydrogenic atoms; 15. Maxwell's equations; 16. Lie groups and differential
equations; References; Index. 

Autoreninfo

Robert Gilmore is a Professor in the Department of Physics at Drexel University, Philadelphia. He is a Fellow of the American Physical Society, and a Member of the Standing Committee for the International Colloquium on Group Theoretical Methods in Physics. His research areas include group theory, catastrophe theory, atomic and nuclear physics, singularity theory, and chaos.