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Exceptional Lie groups

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Exceptional Lie groupsby Ichiro Yokota ; edited by Takao Imai ... [et al.].
作者:	Yokota, Ichirō.
其他作者:	Imai, Takao.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xix, 252 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Lie groups.
電子資源:	https://doi.org/10.1007/978-3-031-88911-0
ISBN:	9783031889110$q(electronic bk.)

Exceptional Lie groups
Yokota, Ichirō.

Exceptional Lie groups[electronic resource] /by Ichiro Yokota ; edited by Takao Imai ... [et al.]. - Cham :Springer Nature Switzerland :2025. - xix, 252 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23691617-9692 ;. - Lecture notes in mathematics ;2035..

Chapter 1. Exceptional Lie group G2 -- Chapter 2. Exceptional Lie group F4 -- Chapter 3. Exceptional Lie group E6 -- Chapter 4. Exceptional Lie group E7 -- Chapter 5. Exceptional Lie group E8.

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.

ISBN: 9783031889110$q(electronic bk.)

Standard No.: 10.1007/978-3-031-88911-0doiSubjects--Topical Terms:

190898
Lie groups.

LC Class. No.: QA387

Dewey Class. No.: 512.482

Exceptional Lie groups
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520 $a 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.
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