SALE ON NOW! PROMOTIONS

Close Notification

Your cart does not contain any items

$211.95   $169.25

Paperback

Not in-store but you can order this
How long will it take?

QTY:

English
Springer International Publishing AG
30 May 2025
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 compact simple Lie groups arise in many settings in mathematics and physics. The exceptional Lie groups form an especially interesting class of objects that have attracted the attention of numerous mathematicians. Requiring no prior knowledge of composition algebras or Jordan algebras, the book will be valuable to anyone who wants to learn about the structure and realizations of these fascinating groups.
By:  
Edited by:   , , ,
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Volume:   2369
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031889103
ISBN 10:   303188910X
Series:   Lecture Notes in Mathematics
Pages:   252
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

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”.

See Also