Lie Groups And Lie Algebras For Physicists

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    Lie Groups And Lie Algebras For Physicists
    By: Ashok Das; Susumu Okubo
    Publisher:
    WSPC
    Print ISBN: 9789814603270, 9814603279
    eText ISBN: 9789814603294, 9814603295
    Pages: 360
    Format: EPUB
    Available from $ 38.00 USD
    SKU 9789814603294
    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
    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
     

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