The descent map from automorphic representations of GL to classical groups

The descent map from automorphic representations of GL to classical groups / David Ginzburg, Stephen Rallis, David Soudry.

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-Gr...

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Bibliographic Details
Main Author: Ginzburg, D. (David)
Other Authors: Rallis, Stephen, 1942-, Soudry, David, 1956-
Format: eBook
Language:English
Published: Singapore ; Hackensack, NJ : World Scientific Pub., ©2011.
Subjects:
L-functions.
Automorphic forms.
Representations of groups.
MATHEMATICS > Complex Analysis.
Automorphic forms
L-functions
Representations of groups
Online Access:Click for online access
Table of Contents:
  • 1. Introduction
  • 2. On certain residual representations
  • 3. Coefficients of Gelfand-Graev type, of Fourier-Jacobi type, and descent
  • 4. Some double coset decompositions
  • 5. Jacquet modules of parabolic inductions: Gelfand-Graev characters
  • 6. Jacquet modules of parabolic inductions: Fourier-Jacobi characters
  • 7. The tower property
  • 8. Non-vanishing of the descent I
  • 9. Non-vanishing of the descent II
  • 10. Global genericity of the descent and global integrals
  • 11. Langlands (weak) functorial lift and descent.

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