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Group Theory: A Physicist's Survey

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Overview

Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become 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 invariants. 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.

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Editorial Reviews

From the Publisher
"The books construction is straightforward... Group Theory: A Physicist's Survey successfully introduces physics model builder to the most likely toold os choice for future constructions."
Robert Gilmore, Physics Today
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Product Details

  • ISBN-13: 9780521896030
  • Publisher: Cambridge University Press
  • Publication date: 6/14/2010
  • Edition description: New Edition
  • Pages: 320
  • Product dimensions: 7.00 (w) x 9.80 (h) x 0.80 (d)

Meet the Author

Pierre Ramond is a Distinguished Professor at the University of Florida and Director of the Institute for Fundamental Theory. He has held positions at FermiLab, Yale University and Caltech. He has made seminal contributions to Superstring Theory and the theory of neutrino masses, and is a member of the American Academy of Arts and Sciences.

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Table of Contents

1. Preface: the pursuit of symmetries; 2. Finite groups: an introduction; 3. Finite groups: representations; 4. Hilbert Spaces; 5. SU(2); 6. SU(3); 7. Classification of compact simple Lie algebras; 8. Lie algebras: representation theory; 9. Finite groups: the road to simplicity; 10. Beyond Lie algebras; 11. The groups of the Standard Model; 12. Exceptional structures; Appendices; References; Bibliography; Index.

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