Structure and Geometry of Lie Groups is popular PDF and ePub book, written by Joachim Hilgert in 2011-11-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Structure and Geometry of Lie Groups can be Read Online from any device for your convenience.
Structure and Geometry of Lie Groups Book PDF Summary
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.
Detail Book of Structure and Geometry of Lie Groups PDF
- Author : Joachim Hilgert
- Release : 06 November 2011
- Publisher : Springer Science & Business Media
- ISBN : 9780387847948
- Genre : Mathematics
- Total Page : 742 pages
- Language : English
- PDF File Size : 7,5 Mb
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