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| Softcover ISBN: | 978-0-8218-4544-8 |
| Product Code: | MMONO/85 |
| List Price: | $165.00 |
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| eBook ISBN: | 978-1-4704-4793-9 |
| Product Code: | MMONO/85.E |
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| Softcover ISBN: | 978-0-8218-4544-8 |
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Book DetailsTranslations of Mathematical MonographsVolume: 85; 1991; 259 ppMSC: Primary 22; Secondary 17
The first part of this book, which is the second edition of the book of the same title, is intended to provide readers with a brief introduction to the theory of Lie groups as an aid to further study by presenting the fundamental features of Lie groups as a starting point for understanding Lie algebras and Lie theory in general. In the revisions for the second edition, proofs of some of the results were added.
The second part of the book builds on some of the background developed in the first part, offering an introduction to the theory of symmetric spaces, a remarkable example of applications of Lie group theory to differential geometry. The book emphasizes this aspect by surveying the fundamentals of Riemannian manifolds and by giving detailed explanations of the way in which geometry and Lie group theory come together.
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Table of Contents
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Chapters
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Lie Groups I
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Contents of Lie Groups I
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Preface to Lie Groups I
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Foreword to Lie Groups I
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Foreword to the First Edition of Lie Groups I
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Notation to Lie Groups I
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Chapter I. Concept of Lie group, particularly, linear Lie group
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Chapter II. Compact Lie groups and semisimple Lie groups
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Chapter III. Outline of the theory of Lie algebras
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References
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Lie Groups II
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Contents of Lie Groups II
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Preface to Lie Groups II
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Foreword to Lie Groups II
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Chapter I. Riemannian manifolds
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Chapter II. Riemannian symmetric spaces
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Chapter III. Riemannian symmetric spaces of semisimple type
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Chapter I. Hermitian symmetric spaces
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References
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Reviews
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The qualities of the book are clear exposition, elegant style of writing, careful selection of material.
Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
The first part of this book, which is the second edition of the book of the same title, is intended to provide readers with a brief introduction to the theory of Lie groups as an aid to further study by presenting the fundamental features of Lie groups as a starting point for understanding Lie algebras and Lie theory in general. In the revisions for the second edition, proofs of some of the results were added.
The second part of the book builds on some of the background developed in the first part, offering an introduction to the theory of symmetric spaces, a remarkable example of applications of Lie group theory to differential geometry. The book emphasizes this aspect by surveying the fundamentals of Riemannian manifolds and by giving detailed explanations of the way in which geometry and Lie group theory come together.
-
Chapters
-
Lie Groups I
-
Contents of Lie Groups I
-
Preface to Lie Groups I
-
Foreword to Lie Groups I
-
Foreword to the First Edition of Lie Groups I
-
Notation to Lie Groups I
-
Chapter I. Concept of Lie group, particularly, linear Lie group
-
Chapter II. Compact Lie groups and semisimple Lie groups
-
Chapter III. Outline of the theory of Lie algebras
-
References
-
Lie Groups II
-
Contents of Lie Groups II
-
Preface to Lie Groups II
-
Foreword to Lie Groups II
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Chapter I. Riemannian manifolds
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Chapter II. Riemannian symmetric spaces
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Chapter III. Riemannian symmetric spaces of semisimple type
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Chapter I. Hermitian symmetric spaces
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References
-
The qualities of the book are clear exposition, elegant style of writing, careful selection of material.
Zentralblatt MATH
