Merging algebra and analysis, this text uses Lie-theoretic methods to develop a theory with wide applications in mathematics and physics. It aims to encourage the reader's understanding of Lie theory to evolve from beginner to expert. Topics include: the Cartan theory of complex semisimple Lie algebras; the Cartan-Weyl theory of the structure of representations of compact Lie groups; the classification of real semisimple Lie algebras; the structure theory of noncompact reductive Lie groups; and integration on reductive groups.
- ISBN10 1475724543
- ISBN13 9781475724547
- Publish Date 15 January 2014 (first published July 1996)
- Publish Status Withdrawn
- Out of Print 18 October 2014
- Publish Country US
- Imprint Springer
- Format Paperback (US Trade)
- Pages 628
- Language English