Gilmore, Robert
Lie groups, physics, and geometry: an introduction for physicists, engineers and chemists - United Kingdom -- CUP -- 2008 - xi, 319p.
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.
Concentrating on the applications of Lie group theory to physical sciences and applied mathematics, this is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields. Problems are given at the end of each chapter.
9780521884006
Lie-Algebra
Group theory
Lie groups
512.482 GIL/L
Lie groups, physics, and geometry: an introduction for physicists, engineers and chemists - United Kingdom -- CUP -- 2008 - xi, 319p.
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.
Concentrating on the applications of Lie group theory to physical sciences and applied mathematics, this is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields. Problems are given at the end of each chapter.
9780521884006
Lie-Algebra
Group theory
Lie groups
512.482 GIL/L