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Differential Geometry, Lie Groups, and Symmetric Spaces
About this Title
Sigurdur Helgason, Massachusetts Institute of Technology, Cambridge, MA
Publication: Graduate Studies in Mathematics
Publication Year:
2001; Volume 34
ISBNs: 978-0-8218-2848-9 (print); 978-1-4704-1146-6 (online)
DOI: https://doi.org/10.1090/gsm/034
MathSciNet review: MR1834454
MSC: Primary 53C35; Secondary 22E10, 22E46, 22E60
This volume is not part of this online collection.
Table of Contents
Chapters
- Chapter I. Elementary differential geometry
- Chapter II. Lie groups and Lie algebras
- Chapter III. Structure of semisimple Lie algebras
- Chapter IV. Symmetric spaces
- Chapter V. Decomposition of symmetric spaces
- Chapter VI. Symmetric spaces of the noncompact type
- Chapter VII. Symmetric spaces of the compact type
- Chapter VIII. Hermitian symmetric spaces
- Chapter IX. Structure of semisimple Lie groups
- Chapter X. The classification of simple Lie algebras and of symmetric spaces
- Solutions to exercises
- Some details
- Supplementary Notes