Lie Groups and Automorphic Forms ( AMS/IP Studies in Advanced Mathematics )

Publication series ：AMS/IP Studies in Advanced Mathematics

Author： Lizhen Ji;Jian-Shu Li;H. W. Xu

Publisher： American Mathematical Society‎

Publication year： 2017

E-ISBN: 9781470438265

P-ISBN(Paperback): 9780821841983

Subject： O1 Mathematics

Keyword：暂无分类

Language： ENG

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Lie Groups and Automorphic Forms

Description

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.

Chapter

Cover

Title page

Dedication

Contents

Preface

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

Back Cover

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