Lie Groups And Lie Algebras For Physicists

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 SU_F(3) Symmetry • Casimir Invariants and Adjoint Operators • Root System of Lie Algebras 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