
$175.99
- Paperback
252 pages
- Release Date
30 May 2025
Summary
Exceptional Lie Groups: A Concrete Exploration
This book provides a concrete description of the identity connected components of the real and complex exceptional Lie groups. The constructions are elementary and improve on those of H. Freudenthal.
The complex simple Lie algebras were classified into classical (An, Bn, Cn, Dn) and exceptional (G2, F4, E6, E7, E8) types at the end of the 19th century by W. Killing and É. Cartan. These simple Lie algebras and the corresponding c…
Book Details
ISBN-13: | 9783031889103 |
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ISBN-10: | 303188910X |
Series: | Lecture Notes in Mathematics |
Author: | Ichiro Yokota, Takao Imai, Tetsuo Ishihara, Kazuyuki Mitsuishi, Takashi Miyasaka, Toshikazu Miyashita, Akihiro Nishio, Osamu Shukuzawa, Osami Yasukura |
Publisher: | Springer International Publishing AG |
Imprint: | Springer International Publishing AG |
Format: | Paperback |
Number of Pages: | 252 |
Release Date: | 30 May 2025 |
Weight: | 0g |
Dimensions: | 235mm x 155mm |
About The Author
Ichiro Yokota
Ichiro Yokota was awarded a Doctor of Science degree (Topology of classical Lie groups) from Osaka University in 1959. He was an Assistant, Lecturer and then Associate Professor at Osaka City University (1950–1966), Professor at Shinshu University (1966–1990) and Visiting Professor at Tamkang University (1976–1977). In 1990, he became a Professor Emeritus at Shinshu University. With O. Shukuzawa, he realized the non-compact connected and compact simply connected exceptional Lie groups of type E6 (1979–1980), improving on H. Freudenthal’s constructions. His publications include the book “Groups and Topology” (Shokabo, 1971) on cellular decompositions of classical Lie groups. Professor Yokota died on November 10th, 2017. The editors of this book have been disciples of the late Professor since 1976. In his words, “Our motivation is to study everything related to exceptional Lie groups”.
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