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Group Theory in Physics: A Practitioner's Guide

Group Theory in Physics: A Practitioner's Guide

Hardcover

General MathematicsPhysics

ISBN10: 9813273607
ISBN13: 9789813273603
Publisher: World Scientific Publishing Company
Published: Nov 20 2018
Pages: 760
Weight: 2.59
Height: 1.56 Width: 6.00 Depth: 9.00
Language: English

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.

The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts -- the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.

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Campoamor-Stursberg, Rutwig

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General Mathematics