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

2 line drawings, 3 tables

6 x 9

© 1996
J. Frank Adams was internationally known and respected as one of the great algebraic topologists. Adams had long been fascinated with exceptional Lie groups, about which he published several papers, and he gave a series of lectures on the topic. The author's detailed lecture notes have enabled volume editors Zafer Mahmud and Mamoru Mimura to preserve the substance and character of Adams's work.
Because Lie groups form a staple of most mathematics graduate students' diets, this work on exceptional Lie groups should appeal to many of them, as well as to researchers of algebraic geometry and topology.
J. Frank Adams was Lowndean professor of astronomy and geometry at the University of Cambridge. The University of Chicago Press published his Lectures on Lie Groups and has reprinted his Stable Homotopy and Generalized Homology.
Chicago Lectures in Mathematics Series
Because Lie groups form a staple of most mathematics graduate students' diets, this work on exceptional Lie groups should appeal to many of them, as well as to researchers of algebraic geometry and topology.
J. Frank Adams was Lowndean professor of astronomy and geometry at the University of Cambridge. The University of Chicago Press published his Lectures on Lie Groups and has reprinted his Stable Homotopy and Generalized Homology.
Chicago Lectures in Mathematics Series
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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