Descent Map From Automorphic Representations Of Gl(n) To Classical Groups, The

by David Soudry, David Ginzburg, and Stephen Rallis

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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.
  • ISBN13 9789814304986
  • Publish Date 4 July 2011 (first published 1 January 2011)
  • Publish Status Active
  • Publish Country SG
  • Imprint World Scientific Publishing Co Pte Ltd