Lectures on exceptional Lie groups
著者
書誌事項
Lectures on exceptional Lie groups
（Chicago lectures in mathematics）
University of Chicago Press, 1996
- : cloth
- : pbk
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注記
Includes bibliographical references (p. [121]-122)
内容説明・目次
- 巻冊次
-
: cloth ISBN 9780226005263
内容説明
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
目次
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
- 巻冊次
-
: pbk ISBN 9780226005270
内容説明
A collection of J. Frank Adams' lecture notes and papers on exceptional Lie groups, edited by Zafer Mahmud and Mamoru Mimura.
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