Groups, representations and physics / H.F. Jones.

Format:

Book

Author/Creator:

Jones, H. F. (Hugh F.), author.

Language:

English

Subjects (All):

Representations of groups.

Physical Description:

1 online resource (xiii, 326 p. ) ill. ;

Edition:

2nd ed.

Place of Publication:

[Place of publication not identified] : CRC Press, 1998.

Language Note:

English

Summary:

Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.

Contents:

Introduction. General properties of groups and mappings. Group representations. Properties of irreducible representations. Physical applications. Continuous groups (SO(N)). Further applications. The SU(N) groups and particle physics. General treatment of simple Lie Groups. Representations of the Poincaré groups. Gauge groups. Appendices. Glossary of mathematical symbols. Bibliography. Problem solutions. Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. [291]-292) and index.

Description based on print version record.

ISBN:

1-000-29177-4

0-367-80579-0

0-585-35473-1

1-4200-5029-X

9780367805791

OCLC:

1107880459