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portada The Descent Map from Automorphic Representations of GL(n) to Classical Groups
The Descent Map from Automorphic Representations of GL(n) to Classical GroupsThe Descent Map from Automorphic Representations of GL(n) to Classical GroupsThe Descent Map from Automorphic Representations of GL(n) to Classical Groups
Type
Physical Book
Year
2011
Language
English
Pages
352
Format
Hardcover
Dimensions
24.9x16.5x2.3 cm
Weight
0.75 kg.
ISBN13
9789814304986

The Descent Map from Automorphic Representations of GL(n) to Classical Groups

David Soudry (Author) · David Ginzburg (Author) · Stephen Rallis (Author) · World Scientific Publishing Company · Hardcover

The Descent Map from Automorphic Representations of GL(n) to Classical Groups - Soudry, David ; Ginzburg, David ; Rallis, Stephen

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Synopsis "The Descent Map from Automorphic Representations of GL(n) to Classical Groups"

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.

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