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J. F. Adams

Lectures on Exceptional Lie Groups

Edited by Zafer Mahmud and Mamoru Mimura
136 pages, 2 line drawings, 3 tables  6 x 9  © 1996
Series: Chicago Lectures in Mathematics

Cloth $65.00

ISBN: 9780226005263   Published December 1996

Paper $29.00

ISBN: 9780226005270   Published December 1996

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

Subjects



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