Lie Groups and Lie Algebras for Physicists
Nonfiction, Science & Nature, Mathematics, Group Theory, Science, Physics, Mathematical Physics
| Author: | Ashok Das, Susumu Okubo | ISBN: | 9789814603294 |
| Publisher: | World Scientific Publishing Company | Publication: | September 3, 2014 |
| Imprint: | WSPC | Language: | English |
| Author: | Ashok Das, Susumu Okubo |
| ISBN: | 9789814603294 |
| Publisher: | World Scientific Publishing Company |
| Publication: | September 3, 2014 |
| Imprint: | WSPC |
| Language: | English |
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
Contents:
- Introduction to Groups
- Representation of Groups
- Lie Algebras
- Relationship between Lie Algebras and Lie Groups
- Irreducible Tensor Representations and Young Tableau
- Clifford Algebra
- Lorentz Group and the Dirac Equation
- Yang–Mills Gauge Theory
- Quark Model and SUF(3) Symmetry
- Casimir Invariants and Adjoint Operators
- Root System of Lie Algebras
Readership: Graduate students, researchers and anyone else with a background in quantum mechanics.
Key Features:
- Many worked examples are included to explain the essential abstract ideas, with derivations of various results given in detail
- Many new features can be also found including a simple introduction to Cartan–Dynkin theory higher order Casimir invariants as well as exceptional groups
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
Contents:
- Introduction to Groups
- Representation of Groups
- Lie Algebras
- Relationship between Lie Algebras and Lie Groups
- Irreducible Tensor Representations and Young Tableau
- Clifford Algebra
- Lorentz Group and the Dirac Equation
- Yang–Mills Gauge Theory
- Quark Model and SUF(3) Symmetry
- Casimir Invariants and Adjoint Operators
- Root System of Lie Algebras
Readership: Graduate students, researchers and anyone else with a background in quantum mechanics.
Key Features:
- Many worked examples are included to explain the essential abstract ideas, with derivations of various results given in detail
- Many new features can be also found including a simple introduction to Cartan–Dynkin theory higher order Casimir invariants as well as exceptional groups
