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August 24 , 2007

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.
  • 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
  • YangMills Gauge Theory
  • Quark Model and SUF(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 CartanDynkin theory higher order Casimir invariants as well as exceptional groups
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