Differential Geometry, Lie Groups, and Symmetric Spaces - 1st Edition - ISBN: 9780123384607, 9780080873961

Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80

1st Edition

Authors: Sigurdur Helgason
eBook ISBN: 9780080873961
Imprint: Academic Press
Published Date: 28th December 1978
Page Count: 628
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Table of 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.


Description

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.

Readership

Advance undergraduate and graduate students studying mathematics.


Details

No. of pages:
628
Language:
English
Copyright:
© Academic Press 1978
Published:
Imprint:
Academic Press
eBook ISBN:
9780080873961

About the Authors

Sigurdur Helgason Author

Affiliations and Expertise

Massachusetts Institute of Technology