An Introduction to Lie Groups and Lie Algebras

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander Kirillov, Jr and published by Cambridge University Press. This book was released on 2017-06-30 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.