Francesco Iachello, "Lie Algebras and Applications":Ebook Free Download

Francesco Iachello, "Lie Algebras and Applications"

Ebook Free Download | Francesco Iachello, "Lie Algebras and Applications" | This book is not a manual in the usual sense, but a compilation of facts concerning Lie algebras that continuously appear in physical problems. The material covered is the result of various seminars given by the author during many years, and synthetize the main facts that should be known to any physicist.
The material is divided into 12 chapters of variable length. The first two present the main theory of semisimple Lie algebras, enumerating the key results from root theory and Dynkin-Coxeter diagrams to classify the complex simple algebras. The real forms for the classical algebras are given in table form, without going into its detailed obtainment. It should also be taken into account that for Dynkin diagrams, the author does not distinguish between positively and negatively oriented angles, thus the angles between roots in equation (2.8) are reduced to five (unoriented) angles instead of the usual eight (oriented) angles.
The book is written in an informal style, which simplifies its reading and makes it a suitable consultation work. The profusion of examples (many of them actually coming from original references) explains quite well the topics studied, and gives a concrete idea how to apply the techniques. It is a very welcomed addition to the literature that contains much topics treated for the first time in textbook form. Resuming, the book by Iachello constitutes an excellent reference for those interested in the practical application and techniques of Lie algebras to physics, and that try to avoid the often embarrassing theoretical works. It should also be mentioned that much of the material is divided into hundreds of original articles, and therefore a unified presentation will be of great use for the physical community.