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020 9781475753257|q(electronic bk.)
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072 7 MAT012000|2bisacsh
082 04 516|223
100 1 Rosenfeld, Boris.
245 10 Geometry of Lie Groups|h[electronic resource] /|cby Boris
260 Boston, MA :|bSpringer US,|c1997.
300 1 online resource (xviii, 397 pages).
338 online resource|bcr|2rdacarrier
490 1 Mathematics and Its Applications ;|v393
520 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
650 0 Mathematics.
650 0 Topological groups.
650 0 Geometry.
655 4 Electronic books.
776 08 |iPrint version:|z9781441947697
830 0 Mathematics and Its Applications ;|v393.
856 40 |3SpringerLink|uhttp://dx.doi.org.ezp.lib.unimelb.edu.au/
10.1007/978-1-4757-5325-7|zConnect to ebook (University of
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