Algebraic Groups and Number Theory (Volume 139) (Pure and Applied Mathematics, Volume 139)

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date. This text is built on a synthesis of methods from algebraic geometry, number theory, analysis and topology. It provides an overview of the major results of the arithmetic theory of algebraic groups obtained to date.