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 AlgebrasGraduate 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
