Subject(s) 
Group theory


Mathematical physics

Physical Description 
ix, 310 p. : ill. ; 26 cm 
Note 
Includes bibliographical references (p. 307) and index 
Review 
"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 KacMoody 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."BOOK JACKET 
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 
