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The Descent Map from Automorphic Representations of Gln to Classical Groups - Hardcover

Soudry, David; Ginzburg, David; Rallis, Stephen

 
9789814304986: The Descent Map from Automorphic Representations of Gln to Classical Groups
Hardcover
ISBN 10: 9814304980 ISBN 13: 9789814304986
Verlag: World Scientific Publishing Co Pte Ltd, 2011

Inhaltsangabe

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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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 GelfandGraev type, or of the FourierJacobi 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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Verlag
World Scientific Publishing Co Pte Ltd
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
9814304980
ISBN 13 
9789814304986
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
352
Kontakt zum Hersteller
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Verantwortliche Person
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