Arithmetic Groups and Their Generalizations

Arithmetic Groups and Their Generalizations

by Lizhen Ji
Pub. Date:
American Mathematical Society


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Arithmetic Groups and Their Generalizations

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\mathrm{SL}(n,\mathbf{Z})$. 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 and 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 a light on the important role played by arithmetic groups in modern mathematics.

Product Details

ISBN-13: 9780821848661
Publisher: American Mathematical Society
Publication date: 04/20/2009
Series: AMSIP , #43
Pages: 259
Product dimensions: 6.90(w) x 9.90(h) x 0.60(d)

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