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

Soudry, David; Ginzburg, David; Rallis, Stephen

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

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Revue de presse

"The book is reasonably self-contained and the approach is more elementary." --Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
9814304980
ISBN 13 
9789814304986
Reliure
Relié
Nombre de pages
352
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Allemagne