β Scribed by I. M. Gel'fand; M. I. Graev; I. I. Pyatetskii-Shapiro
No coin nor oath required. For personal study only.
In the final volume of the series, Gel'fand, Graev, and Pyatetskii-Shapiro continue the discussion of representation theory from Volume Five and examine automorphic functions. They begin by looking at problems of representation theory and the theory or automorphic functions connected with a Lie group and a discrete subgroup to it. Then they construct the theory of representations of the group of matrices in order Two with elements from an arbitrary locally compact topological field. They conclude with a study of the group of adeles and the natural homogeneous spaces that arise in connection with these groups. They do not assume readers to be familiar with adele groups, so provide an expository account of the basic ideas. Annotation Β©2016 Ringgold, Inc., Portland, OR (protoview.com)
generalised; higher mathematics; maths; math; function; number theory
π SIMILAR VOLUMES
This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and wit