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AMS/IP Studies in Advanced Mathematics

Volume 43

Arithmetic Groups and their Generalizations

What, why, and how

Lizhen Ji (University of Michigan, Ann Arbor)

Original Publication: 1 May 2008

Publisher: American Mathematical Society / International Press

Language: English

259 pages

Description

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as Z or SL (n, Z). Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations.

The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood an applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry.

It is hoped that such an overview will shed light on the important role played by arithmetic groups in modern mathematics.

This volume is part of the AMS/IP Studies in Advanced Mathematics book series.

Publications

Pub. Date

ISBN-13

ISBN-10

Medium

Binding

Size, Etc.

Status

List Price

2015 Jan

9780821848661

0821848666

Print

paperback

Out of Print

2008 May

9780821846759

0821846752

Print

hardcover

Out of Print