Structure and Geometry of Lie Groups (Paperback, 2012 ed.)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Springer Monographs in Mathematics
Release date:	2014
First published:	2012
Authors:	Joachim Hilgert • Karl-Hermann Neeb
Dimensions:	235 x 155 x 38mm (L x W x T)
Format:	Paperback
Pages:	746
Edition:	2012 ed.
ISBN-13:	978-1-4899-9006-8
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	1-4899-9006-2
Barcode:	9781489990068

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