Arithmetic Groups and Their Generalizations: What, Why, and How: No. 43 (AMS/IP Studies in Advanced Mathematics) - Hardcover

Ji, Lizhen

Hardcover

ISBN 10: 0821846752 ISBN 13: 9780821846759

Publisher: American Mathematical Society, 2008

Synopsis

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. 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.

About this title

About the Author

Lizhen Ji is at the University of Michigan.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• Language: English
• ISBN 10: 0821846752
• ISBN 13: 9780821846759
• Binding: Hardcover
• Number of pages: 259