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Lie groups, physics, and geometry: an introduction for physicists, engineers and chemists

By: Gilmore, Robert
Material type: TextTextLanguage: English Publisher: United Kingdom -- CUP -- 2008Description: xi, 319pISBN: 9780521884006Subject(s): Lie-Algebra | Group theory | Lie groupsDDC classification: 512.482 GIL/L Summary: 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.
Item type Current location Collection Call number Status Date due Barcode
Book Book Central Library
General Stack (Sahyadri Campus)
512.482 GIL/L Available 08994
Reference Reference Central Library
Reference (Sahyadri Campus)
Reference 512.482 GIL/L Not for loan 08993

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.

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