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Lie Groups and Lie Algebras: A Physicist's Perspective

Adam M. Bincer

Abstract

This book is based on lectures given to graduate students in physics at the University of Wisconsin-Madison. Group theory has been around for many years and the only thing new in this book is my approach to the subject, in particular the attempt to emphasize its beauty. The inspiration was this quote from Hermann Weyl: “My work always tried to unite the true with the beautiful; but when I had to choose one or the other I usually chose the beautiful”. The book starts with the definition of basic concepts such as group, vector space, algebra, Lie group, Lie algebra, simple and semisimple groups, ... More

Keywords: Lie groups, Lie algebras, Clebsch–Gordan coefficients, Wigner–Eckart theorem, Spinors, Hurwitz’s theorem, quaternions, octonions, Cartan classification, Dynkin diagrams, Lorentz group, Poincaré group, Liouville group, hydrogen atom

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780199662920
Published to Oxford Scholarship Online: January 2013 DOI:10.1093/acprof:oso/9780199662920.001.0001

Authors

Affiliations are at time of print publication.

Adam M. Bincer, author
Professor Emeritus, University of Wisconsin - Madison