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GROUP THEORY
A Physicist’s Survey
Group theory has long been an putational tool for physicists, but,
with the advent of the Standard Model, it has e a powerful conceptual tool
as well. This book introduces physicists to many of the fascinating mathematical
aspects of group theory, and mathematicians to its physics applications.
Designed for advanced undergraduate and graduate students, this book gives a
comprehensive overview of the main aspects of both finite and continuous group
theory, with an emphasis on applications to fundamental physics. Finite groups
are extensively discussed, highlighting their irreducible representations and invari-
ants. Lie algebras, and to a lesser extent Kac–Moody algebras, are treated in detail,
including Dynkin diagrams. Special emphasis is given to their representations
and embeddings. The group theory underlying the Standard Model is discussed,
along with its importance in model building. Applications of group theory to the
classification of elementary particles are treated in detail.
P IERRE R AMOND is Distinguished Professor of Physics at the University of
Florida and Director of the Institute for Fundamental Theory. He has held posi-
tions at FermiLab, Yale University and Caltech. He has made seminal contributions
to supersymmetry, superstring theory and the theory of neutrino masses, and is a
Member of the American Academy of Arts & Sciences.
Group Theory
A Physicist’s Survey
PIERRE RAMOND
Institute for Fundamental Theory, Physics Department
University of Florida
CAMBRIDGE UNIVERSITY PRESS
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São Paulo, Delhi, Dubai, Tokyo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521896030
© P. Ramond 2010
This publication is in copyright. Subject to statutory exception and