Lie Groups and Lie Algebras for Physicists by Ashok Das

Lie Groups and Lie Algebras for Physicists

byAshok Das, Susumu Okubo

Kobo ebook | September 3, 2014

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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
Title:Lie Groups and Lie Algebras for PhysicistsFormat:Kobo ebookPublished:September 3, 2014Publisher:World Scientific Publishing CompanyLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814603295

ISBN - 13:9789814603294

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