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Linear representations of the Lorentz group /

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Bibliographic Details
Main Authors: Nai mark, M. A. Mark Aronovich
Corporate Authors: Elsevier Science & Technology
Group Author: Farahat, H. K
Published: Pergamon Press,
Publisher Address: Oxford ; New York :
Publication Dates: 1964.
Literature type: eBook
Language: English
Russian
Series: International Series in Pure and Applied Mathematics ; v. 63
Subjects:
Representations of groups
MATHEMATICS > Algebra > Intermediate
Electronic books
Online Access: http://www.sciencedirect.com/science/book/9780080101552
Carrier Form: 1 online resource (xiv, 450 pages).
Bibliography: Includes bibliographical references (pages 441-444).
ISBN: 9781483184982
1483184986
9780080101552
0080101550
Index Number: QA171
CLC: O152
Contents: Front Cover; Linear Representations of the Lorentz Group; Copyright Page; Table of Contents; PREFACE; CHAPTER I. THE THREE-DIMENSIONAL ROTATION GROUP AND THE LORENTZ GROUP; 1. The Three-dimensional Rotation Group; 2. The Lorentz Group; CHAPTER II. THE REPRESENTATIONS OF THE THREE-DIMENSIONAL ROTATION GROUP; 3. The Basic Concepts of the Theory of Finite-dimensional Representations; 4. Irreducible Representations of the Three-dimensional Rotation Group in Infinitesimal Form; 5. The Realization of Finite-dimensional Irreducible Representations of the Three-dimensional Rotation Group.
6. The Decomposition of a Given Representation of the Three-dimensional Rotation Group into Irreducible RepresentationsCHAPTER III. IRREDUCIBLE LINEAR REPRESENTATIONS OF THE PROPER AND COMPLETE LORENTZ GROUPS; 7. The Infinitesimal Operators of a Linear Representation of the Proper Lorentz Group; 8. Determination of the Infinitesimal Operators of a Representation of the Group +; 9. The Finite-dimensional Representations of the Proper Lorentz Group; 10. Principal Series of Representations of the Group.
11. Description of the Representations of the Principal Series and of Spinor Representations by means of the Unitary Group 12. Complementary Series of Representations of the Group; 13. The Trace of a Representation of the Principal or Complementary Series; 14. An Analogue of Plancherel's Formula; 15. A Description of all the Completely Irreducible Representations of the Proper Lorentz Group; 16. Description of all the Completely Irreducible Representations of the Complete Lorentz Group; CHAPTER IV. INVARIANT EQUATIONS.
17. Equations Invariant with Respect to Rotations of Three-dimensional Space 18. Equations Invariant with Respect to Proper Lorentz Transformations; 19. Equations Invariant with Respect to Transformations of the Complete Lorentz Group; 20. Equations Derived from an Invariant Lagrangian Function; APPENDIX; REFERENCES; INDEX; VOLUMES PUBLISHED IN THE SERIES IN PURE AND APPLIED MATHEMATICS.

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