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Differential geometry, Lie groups, and symmetric spaces
Title:
Differential geometry, Lie groups, and symmetric spaces
Author:
Helgason, Sigurdur, 1927-
ISBN:
9780080873961
9781281763617
9786611763619
Personal Author:
Publication Information:
New York : Academic Press, 1978.
Physical Description:
1 online resource (xv, 628 pages).
Series:
Pure and applied mathematics, a series of monographs and textbooks ; 80
Pure and applied mathematics (Academic Press) ; 80.
Contents:
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.
Abstract:
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.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780123384607 ScienceDirect http://www.sciencedirect.com/science/publication?issn=00798169&volume=80Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA3 .P8 VOL.80 EB | 1191287-1001 | Elsevier E-Book Collections | Searching... |
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