Lie Algebras and Applications: v. 708 (Lecture Notes in Physics) - Hardcover

From the reviews:

"Iachello has written a pedagogical and straightforward presentation of Lie algebras and some applications to bosonic systems encountered in molecular, atomic, nuclear and particle physics. ... The book should be of interest to graduate students and researchers in physics, although mathematicians and chemists should find it useful as well. It is a great text to accompany a course on Lie algebras and their physical applications." (Marc de Montigny, Mathematical Reviews, Issue, 2007 i)

"This book ... a practical introduction to important facts concerning Lie algebras that continuously appear in physical problems, and written by one of the leading experts in the field. ... the book will certainly be of great use for students or specialists that want to refresh their knowledge on Lie algebras applied to physics. ... an excellent reference for those interested in acquiring practical experience in the application and techniques of Lie algebras to physics, and leaving the embarrassing theoretical presentations aside." (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)

This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.