Elementary Differential Geometry. Lie Groups and Lie Algebras. Structure of Semisimple Lie Algebras. Symmetric Spaces. Decomposition of Symmetric Spaces. Symmetric Spaces of the Noncompact Type. Symmetric Spaces of the Compact Type. Hermitian Symmetric Spaces. Structure of Semisimple Lie Groups. The Classification of Simple Lie Algebras and of Symmetric Spaces. Solutions to Exercises. Some Details. Bibliography. List of Notational Conventions. Symbols Frequently Used. Index.
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.
Advance undergraduate and graduate students studying mathematics.
- No. of pages:
- © Academic Press 1978
- 28th December 1978
- Academic Press
- eBook ISBN:
Massachusetts Institute of Technology