The descent map from automorphic representations of GL(n) to classical groups

David Ginzburg, Stephen Rallis, David Soudry

Research output: Book/ReportBookpeer-review


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 Gelfand-Graev type, or of Fourier-Jacobi type when applied to certain residual Eisenstein series. This book contains a complete account of this automorphic descent, with complete, detailed proofs. 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.

Original languageEnglish
PublisherWorld Scientific Publishing Co.
Number of pages339
ISBN (Electronic)9789814304993
ISBN (Print)9789814304986
StatePublished - 1 Jan 2011


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