ENGLISH

Geometry of Lie groups

By B. Rosenfeld , Bill Wiebe

Book information

Publisher
Springer
Year
1997
ISBN
9780792343905, 0792343905
LCC
QA387 .R67 1997
Open Library ID
OL1001278M
Language
english
Format
DJVU
Filesize
4 MB (4385903 bytes)
Series
Mathematics and Its Applications
Edition
1
Pages
415\415
DPI
300
Scanned
no
Time added
2014-10-05 02:30:00

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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