๐”– Scriptorium
โœฆ   LIBER   โœฆ
๐Ÿ“

Differential Geometry, Lie Groups, and Symmetric Spaces

โœ Scribed by Sigurdur Helgason

Publisher
Academic Press, Elsevier
Year
1978
Leaves
635
Series
Pure and Applied Mathematics, Vol. 80
Category
Library
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โœฆ Synopsis

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.

โœฆ Table of Contents

Content:
Editorial Page
Page iii

Copyright Page
Page iv

Preface
Pages ix-xi

Suggestions to the Reader
Page xiii

Tentative Contents of the Sequel
Page xv

Chapter I Elementary Differential Geometry
Pages 1-96

Chapter II Lie Groups and Lie Algebras
Pages 97-154

Chapter III Structure of Semisimple Lie Algebras
Pages 155-196

Chapter IV Symmetric Spaces
Pages 197-228

Chapter V Decomposition of Symmetric Spaces
Pages 229-251

Chapter VI Symmetric Spaces of the Noncompact Type
Pages 252-280

Chapter VII Symmetric Spaces of the Compact Type
Pages 281-351

Chapter VIII Hermitian Symmetric Spaces
Pages 352-400

Chapter IX Structure of Semisimple Lie Groups
Pages 401-437

Chapter X The Classification of Simple Lie Algebras and of Symmetric Spaces
Pages 438-537

Solutions to Exercises
Pages 538-585

Bibliography
Pages 587-616

List of Notational Conventions
Pages 617-619

Symbols Frequently Used
Pages 620-622

Index
Pages 623-629

๐Ÿ“œ SIMILAR VOLUMES

Differential Geometry, Lie Groups, and S
๐Ÿ“ Differential Geometry, Lie Groups, and Symmetric Spaces
โœ Sigurdur Helgason ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐Ÿ› American Mathematical Society ๐ŸŒ English

<span>A ninth printing of Helgason's 1978 textbook and reference published by Academic Press, itself a revision of and sequel to his 1962 Differential Geometry and Symmetric Spaces , based in turn on lectures he gave a the University of Chicago in 1958 and later at Columbia and MIT. He begins by exp

Differential Geometry, Lie Groups, and S
๐Ÿ“ Differential Geometry, Lie Groups, and Symmetric Spaces
โœ Helgason, Sigurdur ๐Ÿ“‚ Library ๐Ÿ“… 1978 ๐Ÿ› Academic Press ๐ŸŒ English

Recommended [here](https://math.stackexchange.com/questions/461029/getting-started-with-lie-groups) as a good introduction to Lie theory: > I would suggest you start with chapter 4 of *An Introduction to Manifolds* by Tu, Then study *Lie Groups, Lie Algebras, and Representations: An Elementary Intro

Differential geometry, Lie groups, and s
๐Ÿ“ Differential geometry, Lie groups, and symmetric spaces
โœ Sigurdur Helgason ๐Ÿ“‚ Library ๐Ÿ“… 1978 ๐Ÿ› Academic Press ๐ŸŒ English

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, particu

Differential Geometry, Lie Groups, and S
๐Ÿ“ Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80
โœ Sigurdur Helgason ๐Ÿ“‚ Library ๐Ÿ“… 1979 ๐Ÿ› Academic Press ๐ŸŒ English

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, particu