Representation Theory and Automorphic Forms

T.N. Bailey

ISBN 10: 0821806092 / ISBN 13: 9780821806098

Published by American Mathematical Society, US, 1997

About this Item

This book is a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects written by some of the world's leading experts in these fields. It is based on the 1996 instructional conference of the International Centre for Mathematical Sciences in Edinburgh. The book begins with an introductory treatment of structure theory and ends with an essay by Robert Langlands on the current status of functoriality. All papers are intended to provide overviews of the topics they address, and the authors have supplied extensive bibliographies to guide the reader who wants more detail.The aim of the articles is to treat representation theory with two goals in mind: to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics and to provide number theorists with the representation-theoretic input to Wiles' proof of Fermat's Last Theorem. This book features discussion of representation theory from many experts' viewpoints; treatment of the subject from the foundations through recent advances; discussion of the analogies between analysis of cusp forms and analysis on semisimple symmetric spaces, which have been at the heart of research breakthroughs for 40 years; and, extensive bibliographies.

Seller Inventory # LU-9780821806098

Bibliographic Details

• Title: Representation Theory and Automorphic Forms
• Publisher: American Mathematical Society, US
• Publication Date: 1997
• Language: English
• ISBN 10: 0821806092
• ISBN 13: 9780821806098
• Binding: Paperback
• Condition: New
• Dimensions: 19.05W x 3.81H x 27.31D centimeters 19.05 centimeters width by 3.81 centimeters height by 27.31 centimeters depth
• Weight: 1049 grams

About this title

Synopsis

The lectures from a course in the representation theory of semi-simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation c. by Book News, Inc., Portland, Or.