| eBook ISBN: | 978-1-4704-3826-5 |
| Product Code: | AMSIP/37.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
| eBook ISBN: | 978-1-4704-3826-5 |
| Product Code: | AMSIP/37.E |
| List Price: | $69.00 |
| MAA Member Price: | $62.10 |
| AMS Member Price: | $55.20 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 37; 2006; 239 ppMSC: Primary 20; 22; 11; 55
Lie groups are fundamental objects in mathematics. They occur naturally in differential geometry, algebraic geometry, representation theory, number theory, and other areas. Closely related are arithmetic subgroups, locally symmetric spaces and the spectral theory of automorphic forms.
This book consists of five chapters which give comprehensive introductions to Lie groups, Lie algebras, arithmetic groups and reduction theories, cohomology of arithmetic groups, and the Petersson and Kuznetsov trace formulas.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and research mathematicians interested in lie groups, automorphics forms, and number theory.
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Table of Contents
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Chapters
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Lie groups and linear algebraic groups I. Complex and real groups
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Introduction to the cohomology of arithmetic groups
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Lectures on locally symmetric spaces and arithmetic groups
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Petersson and Kuznetsov trace formulas
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On the cohomology of locally symmetric spaces and of their compactifications
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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- Additional Material
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Lie groups are fundamental objects in mathematics. They occur naturally in differential geometry, algebraic geometry, representation theory, number theory, and other areas. Closely related are arithmetic subgroups, locally symmetric spaces and the spectral theory of automorphic forms.
This book consists of five chapters which give comprehensive introductions to Lie groups, Lie algebras, arithmetic groups and reduction theories, cohomology of arithmetic groups, and the Petersson and Kuznetsov trace formulas.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Graduate students and research mathematicians interested in lie groups, automorphics forms, and number theory.
-
Chapters
-
Lie groups and linear algebraic groups I. Complex and real groups
-
Introduction to the cohomology of arithmetic groups
-
Lectures on locally symmetric spaces and arithmetic groups
-
Petersson and Kuznetsov trace formulas
-
On the cohomology of locally symmetric spaces and of their compactifications
