Brian Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
ISBN: 0387401229 | edition 2003 | PDF | 354 pages | 27 mb
Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation.