Geometry of Lie Groups
By: by Boris Rosenfeld
Series: Mathematics and Its Applications -- 393; Mathematics and Its Applications -- 393
Publisher: Springer US
Published: 1997
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 397
ISBN-13: 9781441947697; 9781475753257
Subjects: Geometry; Mathematics; Topological groups
Description: This book represents the fruits of the author's many years of research and teaching. The introductory chapter contains the necessary background information from algebra, topology, and geometry of real spaces. Chapter 1 presents more specialized information on associative and nonassociative algebras and on Lie groups and algebras. In Chapters 2 through 6 geometric interpretations of all simple Lie groups of classes An, Bn, Cn, and Dn as well as of finite groups of Lie type are given. In Chapters 5 and 6 geometric interpretations of quasisimple and r-quasisimple Lie groups of the same classes are included. In Chapter 7, for the first time ever, geometric interpretations of all simple and quasisimple Lie groups of exceptional classes G2, F4, E6, E7, and E8 are given. The role of exercises is played by the assertions and theorems given without a full proof, but with the indication that they can be proved analogously to already proved theorems. Audience: The book will be of interest to graduate students and researchers in mathematics and physics.
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