An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics, Series Number 113) - Hardcover

Kirillov Jr Jr, Alexander

Hardcover

ISBN 10: 0521889693 ISBN 13: 9780521889698

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

About the Author

Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department, State University of New York, Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 0521889693
• ISBN 13: 9780521889698
• Binding: Hardcover
• Number of pages: 236