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Lie groups and Lie algebras for physicists / Ashok Das and Susumu Okubo.

By: Contributor(s): Material type: TextTextPublication details: Singapore : World Scientific, c2014.Description: xi, 345 p. : Illustrations ; 25 cmISBN:
  • 9789814603270
Subject(s): DDC classification:
  • 512.55 23 D229
Contents:
1. Introduction to groups-- 2. Representation of groups-- 3. Lie algebras-- 4. Relationship between lie algebras and lie groups-- 5. Irreducible tensor repre3sentations and Young tableau-- 6. Clifford algebra-- 7. Lorentz group and the Dirac equation-- 8. Yang-Mills gauge theory-- 9. Quark model and SUf(3) symmetry-- 10. Casimir invariants and adjoint operators-- 11. Root system of Lie algebras-- Index.
Summary: 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.
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Includes bibliographical references and index.

1. Introduction to groups--
2. Representation of groups--
3. Lie algebras--
4. Relationship between lie algebras and lie groups--
5. Irreducible tensor repre3sentations and Young tableau--
6. Clifford algebra--
7. Lorentz group and the Dirac equation--
8. Yang-Mills gauge theory--
9. Quark model and SUf(3) symmetry--
10. Casimir invariants and adjoint operators--
11. Root system of Lie algebras--
Index.

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.

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