Exceptional Lie Groups
暫譯: 非凡李群
Yokota, Ichiro, Imai, Takao, Ishihara, Tetsuo
- 出版商: Springer
- 出版日期: 2025-05-30
- 售價: $3,390
- 貴賓價: 9.5 折 $3,221
- 語言: 英文
- 頁數: 215
- 裝訂: Quality Paper - also called trade paper
- ISBN: 303188910X
- ISBN-13: 9783031889103
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
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.
商品描述(中文翻譯)
這本書提供了與實數和複數例外李群的同倫連通分量相關的具體描述。這些構造是基本的，並且改進了H. Freudenthal的工作。
複數簡單李代數在19世紀末由W. Killing和É. Cartan分類為古典型（An, Bn, Cn, Dn）和例外型（G2, F4, E6, E7, E8）。這些簡單李代數及其對應的緊緻簡單李群在數學和物理的許多領域中出現。例外李群形成了一個特別有趣的物件類別，吸引了眾多數學家的注意。本書不需要先前對組合代數或喬丹代數的知識，對於任何想要了解這些迷人群體的結構和實現的人來說，都將是有價值的。
作者簡介
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".
作者簡介(中文翻譯)
橫田一郎於1959年獲得大阪大學的科學博士學位（古典李群的拓撲學）。他曾擔任大阪市立大學的助理教授、講師及副教授（1950-1966），之後在信州大學擔任教授（1966-1990），並於1976年至1977年間擔任淡江大學的訪問教授。1990年，他成為信州大學的名譽教授。與O. Shukuzawa合作，他實現了E6型的非緊湊連通及緊湊單連通的例外李群（1979-1980），改進了H. Freudenthal的構造。他的著作包括《群與拓撲》（書肆，1971），該書探討了古典李群的細胞分解。橫田教授於2017年11月10日去世。本書的編輯自1976年以來一直是已故教授的弟子。他曾說過：「我們的動機是研究與例外李群相關的所有事物。」
