Introduction to Lie Algebra and Representation Theory

Author: Humphreys
Publisher:
Publish Date: 2006-05-01
Features: This book is an excellent graduate textbook on Lie groups and their representation theory, highly praised by graduate students in mathematics and physics. The first edition was published in 1972, and it has been revised and reprinted multiple times since then. This is the 7th revised and reprinted edition from 1997. The book features distinctive treatments of certain topics, with a high level of perspective but clear exposition, such as the Jordan-Chevalley decomposition of linear transformations, the conjugacy theorem for Cartan subalgebras, the proof of the isomorphism theorem, the axiomatic treatment of root systems, the Weyl character formula, and the basic structure of Chevalley groups. This book is an excellent graduate textbook on Lie groups and their representation theory, highly praised by graduate students in mathematics and physics.