Lie Algebras and Applications

Iachello is a renowned physicist. Honors:Chiaudano Prize, 1964Fulbright Fellow, 1968AKZO Prize of the Netherlands Society of Sciences, 1981Wigner Medal, 1990Taormina Prize, 1991Dr. Hon., University of Ferrara, Italy, 1992Bonner Prize of the American Physical Society, 1993Dr. Hon., University of Seville, Spain, 1993Ph.D. Hon. Chung Yuan University, Republic of China, 1993Honorary Professor Nanjing University, China, 1995Foreign Member Royal Netherlands Academy of Arts and Sciences, 1996Honorary Fellow Eotvos Physical Society, Hungary, 1996Centennial Prize of the Italian Physical Society, 1997Foreign Member Croatian Academy of Arts and Sciences, 1997Zernike Professor University of Groningen, The Netherlands, 1997Eminent Scientist Award, RIKEN, Tokyo, Japan, 2000Meitner Prize of the European Physical Society 2002Dr. Hon., University of Bucharest, Romania, 2005Italian National Medal of Science, 2007Majorana Prize, 2007Commemorative Medal, University of Prague, Czech Republic, 2008

• Basic Concepts.- Semisimple Lie Algebras.- Lie Groups.- Lie Algebras and Lie Groups.- Homogeneous and Symmetric Spaces (Coset Spaces). - Irreducible Bases (Representations).- Casimir Operators and Their Eigenvalues.- Tensor Operators.- Boson Realizations.- Fermion Realizations.- Differential Realizations.- Matrix Realizations.- Coset Spaces.- Spectrum Generating Algebras and Dynamic Symmetries.- Degeneracy Algebras and Dynamical Alebras.- Index.

"Its intention is to provide an introduction to Lie algebras at the level of a one-semester course in physics. ... these lecture notes are of high interest for physicists. But a mathematician will also find it interesting to see Lie algebras 'in action' in physics. There are a lot of detailed examples available in the book." (Martin Schlichenmaier, Mathematical Reviews, January, 2016)