Introduction to Lie groups and Lie algebras /

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Bibliographic Details
Author / Creator:Kirillov, Alexander A., 1967-
Imprint:Cambridge : Cambridge University Press, 2008.
Description:1 online resource (xi, 222 pages)
Language:English
Series:Cambridge studies in advanced mathematics ; 113
Cambridge studies in advanced mathematics ; 113.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11814027
Hidden Bibliographic Details
ISBN:0511423705
9780511423703
9780521889698
0521889693
9780511422539
0511422539
9780511424182
0511424183
9780511755156
0511755155
0521889693
Digital file characteristics:data file
Notes:Includes bibliographical references and index.
Print version record.
Summary:With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This 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. 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.
Other form:Print version: Kirillov, Alexander A., 1967- Introduction to Lie groups and Lie algebras. Cambridge, UK ; New York : Cambridge University Press, 2008 9780521889698