Exceptional Lie groups - Couverture souple

Yokota, Ichiro

Couverture souple

ISBN 10 : 303188910X ISBN 13 : 9783031889103

Editeur : Springer, 2025

Synopsis

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.

A propos du livre

À propos de l?auteur

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".

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2025
• Langue: anglais
• ISBN 10: 303188910X
• ISBN 13: 9783031889103
• Reliure: Broché
• Nombre de pages: 272
• Éditeur: Imai Takao, Ishihara Tetsuo, Mitsuishi Kazuyuki, Miyasaka Takashi, Miyashita Toshikazu, Nishio Akihiro, Shukuzawa Osamu, Yasukura Osami
• Coordonnées du fabricant: KINESIS; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; 22391; Allemagne