Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department, State University of New York, Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.

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Preface
1. Introduction
2. Lie groups: basic definitions
3. Lie groups and Lie algebras
4. Representations of Lie groups and Lie algebras
5. Structure theory of Lie algebras
6. Complex semisimple Lie algebras
7. Root systems
8. Representations of semisimple Lie Algebras
Overview of the literature
A. Root systems and simple Lie algebras
B. Sample syllabus
List of notation
Index
Bibliography.

Inhaltsangabe