Exceptional Lie groups, 9783031889103
Paperback
Unlock the mysteries of exceptional Lie groups with elementary constructions.

$175.99

  • Paperback

    252 pages

  • Release Date

    30 May 2025

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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
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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