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Lie Algebras and Applications (Lecture Notes in Physics, 708) by Francesco Iachello is a nonfiction available to read on EtoBox.

What is Lie Algebras and Applications (Lecture Notes in Physics, 708) about?

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. Chapter three compiles the most important facts about Lie algebras of Lie groups, mainly focused on matrix groups. Important techniques like the exponential map and the covering of groups are nicely illustrated with the classical unitary algebra su(2) and t

Who reads Lie Algebras and Applications (Lecture Notes in Physics, 708)?

Author

Francesco Iachello

Publisher

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Published

2006

Language

EN

ISBN

9783662444948

Category

nonfiction

Subjects

Mathematics, Science, Physics