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Zusatztext The book may be treated as a modern "practical introduction to concepts of group theory and some of their applications! especially in subnuclear physics"......In the text! the general statements and investigations are illustrated by many concrete examples given! as a rule! in explicit expanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book. Klappentext This book is a useful and accessible introduction to symmetry principles in particle physics. Concepts of group theory are clearly explained and their applications to subnuclear physics brought up to date. The book begins with introductions to both the types of symmetries known in physics andto group theory and representation theory. Successive chapters deal with the symmetric groups and their Young diagrams, braid groups, Lie groups and algebras, Cartan's classification of semi-simple groups, and the Lie groups most used in physics are treated in detail. Gauge groups are discussed, and applications to elementary particle physics and multiquark systems introduced throughout the book where appropriate. Many worked examples are also included. There is a growing interest in the quark structure of hadrons and in theories of particle interactions based on the principle of gaugesymmetries. Students and researchers on theoretical physics will make great strides in their work with the ideas and applications found here. Zusammenfassung This book is a useful and accessible introduction to symmetry principles in particle physics. New ideas are explained in a way that throws considerable light on difficult concepts, such as Lie groups and their representations. This book begins with introdutions both to the types of symmetries known in physics and to group theory and representation theory. Successive chapters deal with the symmetric groups and their Young diagrams, braid groups, Lie groups and algebras, Cartan's classification of semi-simple groups, and the Lie groups most used in physics are treated in detail. Gauge groups are discussed, and applications to elementary particle physics and multiquark systems introduced throughout the book where appropriate. Many worked examples are also included. There is a growing interestinthe quatk structure of hadrons and in theories of particle interactions based on the principle of gauge symmetries. In this book the concepts of group theory are clearly explained and their applications to subnuclear physics brought up-to-date. Inhaltsverzeichnis 1.: Symmetries in quantum mechanics 2.: Elements of group theory 3.: Linear representations of a group 4.: Permutation group Sn 5.: Lie groups 6.: The orthogonal group 7.: The Poincaré group and the Lorenz group 8.: Unitary groups 9.: Gauge groups 10.: Multiquark systems Appendix A: Conservation Laws Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem Appendix C: Invariant Integration Appendix D: Dimension of an SU(n) irrep ...
