ISBN-10:
0226005267
ISBN-13:
9780226005263
Pub. Date:
12/28/1996
Publisher:
University of Chicago Press
Lectures on Exceptional Lie Groups / Edition 2

Lectures on Exceptional Lie Groups / Edition 2

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Product Details

ISBN-13: 9780226005263
Publisher: University of Chicago Press
Publication date: 12/28/1996
Series: Chicago Lectures in Mathematics Series
Edition description: 1
Pages: 136
Product dimensions: 6.00(w) x 9.00(h) x (d)

Table of 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

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