Hilgert, Joachim
Structure and Geometry of Lie Groups
1. Introduction
Joachim Hilgert, Karl-Hermann Neeb
2. Concrete Matrix Groups
Joachim Hilgert, Karl-Hermann Neeb
3. The Matrix Exponential Function
Joachim Hilgert, Karl-Hermann Neeb
4. Linear Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
5. Elementary Structure Theory of Lie Algebras
Joachim Hilgert, Karl-Hermann Neeb
6. Root Decomposition
Joachim Hilgert, Karl-Hermann Neeb
7. Representation Theory of Lie Algebras
Joachim Hilgert, Karl-Hermann Neeb
8. Smooth Manifolds
Joachim Hilgert, Karl-Hermann Neeb
9. Basic Lie Theory
Joachim Hilgert, Karl-Hermann Neeb
10. Smooth Actions of Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
11. Normal Subgroups, Nilpotent and Solvable Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
12. Compact Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
13. Semisimple Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
14. General Structure Theory
Joachim Hilgert, Karl-Hermann Neeb
15. Complex Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
16. Linearity of Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
17. Classical Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
18. Nonconnected Lie Groups
Joachim Hilgert, Karl-Hermann Neeb
Keywords: Mathematics, Topological Groups, Lie Groups, Differential Geometry, Algebraic Topology, Algebra
- Author(s)
- Hilgert, Joachim
- Neeb, Karl-Hermann
- Publisher
- Springer
- Publication year
- 2012
- Language
- en
- Edition
- 1
- Series
- Springer Monographs in Mathematics
- Page amount
- 10 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9780387847948