Lie Groups, Lie Algebras, and Representations: An Elementary Introduction . Graduate Texts in Mathematics 222.

Hall, Brian C.

ISBN 10: 0387401229 / ISBN 13: 9780387401225

Published by Springer. 2003., 2003

About this Item

Hardcover. Very good. Xiv,351pp.

Seller Inventory # 105079

Bibliographic Details

• Title: Lie Groups, Lie Algebras, and Representations: An Elementary Introduction . Graduate Texts in Mathematics 222.
• Publisher: Springer. 2003.
• Publication Date: 2003
• Language: English
• ISBN 10: 0387401229
• ISBN 13: 9780387401225
• Binding: Hardcover
• Condition: Gebraucht / Used

About this title

Synopsis

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. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.

About the Author

Brian C. Hall is an Associate Professor of Mathematics at the University of Notre Dame.