Lectures on Exceptional Lie Groups
Edited by Zafer Mahmud and Mamoru Mimura
136 pages

2 line drawings, 3 tables

6 x 9

© 1996
 Contents
Table of Contents
Contents
Summary of Constructions
Foreword
Acknowledgments
Introduction
Ch. 1: Definitions, examples and matrix groups
Ch. 2: Clifford algebras
Ch. 3: The Spin groups
Ch. 4: Clifford modules and representations
Ch. 5: Applications of Spin representations
Ch. 6: The exceptional groups: construction of E[subscript 8]
Ch. 7: Construction of a Lie group of type E[subscript 8]
Ch. 8: The construction of Lie groups of type F[subscript 4], E[subscript
6], E[subscript 7]
Ch. 9: The Dynkin diagrams of F[subscript 4], E[subscript 6], E[subscript
7], E[subscript 8]
Ch. 10: The Weyl group of E[subscript 8]
Ch. 11: Representations of E[subscript 6], E[subscript 7]
Ch. 12: Direct construction of E[subscript 7]
Ch. 13: Direct treatment of E[subscript 6]
Ch. 14: Direct treatment of F[subscript 4], I
Ch. 15: The Cayley numbers
Ch. 16: Direct treatment of F[subscript 4], II: Jordan algebras
Appendix: Jordan algebras
References
Foreword
Acknowledgments
Introduction
Ch. 1: Definitions, examples and matrix groups
Ch. 2: Clifford algebras
Ch. 3: The Spin groups
Ch. 4: Clifford modules and representations
Ch. 5: Applications of Spin representations
Ch. 6: The exceptional groups: construction of E[subscript 8]
Ch. 7: Construction of a Lie group of type E[subscript 8]
Ch. 8: The construction of Lie groups of type F[subscript 4], E[subscript
6], E[subscript 7]
Ch. 9: The Dynkin diagrams of F[subscript 4], E[subscript 6], E[subscript
7], E[subscript 8]
Ch. 10: The Weyl group of E[subscript 8]
Ch. 11: Representations of E[subscript 6], E[subscript 7]
Ch. 12: Direct construction of E[subscript 7]
Ch. 13: Direct treatment of E[subscript 6]
Ch. 14: Direct treatment of F[subscript 4], I
Ch. 15: The Cayley numbers
Ch. 16: Direct treatment of F[subscript 4], II: Jordan algebras
Appendix: Jordan algebras
References
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