ENGLISH

Structure and Geometry of Lie Groups

By Joachim Hilgert , Karl-Hermann Neeb (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2012
ISBN
0387847936, 9780387847931
DOI
10.1007/978-0-387-84794-8
ISSN
1439-7382
Google Books ID
PYWoqskGw1YC
Language
english
Format
PDF
Filesize
5 MB (5538435 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
746\755
Orientation
yes
Scanned
no
Time added
2012-02-14 18:00:00
Lie Groups; Differential Geometry; Algebraic TopolTopological Groups

Description

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.

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