Descent Map From Automorphic Representations Of Gl(N) To Classical Groups, The - Hardcover

David Ginzburg; Stephen Rallis; David Soudry

 
9789814304986: Descent Map From Automorphic Representations Of Gl(N) To Classical Groups, The
Hardcover
ISBN 10: 9814304980 ISBN 13: 9789814304986
Publisher: World Scientific Publishing Company, 2011

Synopsis

This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of the Gelfand-Graev type, or of the Fourier-Jacobi type to certain residual Eisenstein series. An account of this automorphic descent, with complete, detailed proofs, leads to a thorough understanding of important ideas and techniques. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.

"synopsis" may belong to another edition of this title.

From the Back Cover

This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of the GelfandGraev type, or of the FourierJacobi type to certain residual Eisenstein series. An account of this automorphic descent, with complete, detailed proofs, leads to a thorough understanding of important ideas and techniques. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2011
Language
English
ISBN 10 
9814304980
ISBN 13 
9789814304986
Binding
Hardcover
Number of pages
352