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

David Soudry, David Ginzburg, Stephen Rallis

ISBN 10: 9814304980 ISBN 13: 9789814304986

Published by WORLD SCIENTIFIC PUB CO INC, 2011

Language: English

Condition: Used Hardcover

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Zustand: Hervorragend | Seiten: 352 | Sprache: Englisch | Produktart: B�cher | Keine Beschreibung verf�gbar.

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Bibliographic Details

Title

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

Publisher

WORLD SCIENTIFIC PUB CO INC

Publication Date

2011

Language

English

ISBN 10

9814304980

ISBN 13

9789814304986

Binding

Hardcover

Condition

Hervorragend

Seller catalogs

B�cher

About this title

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.

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 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.

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