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

D Ginzburg David Ginzburg David Soudry

ISBN 10: 9814304980 / ISBN 13: 9789814304986

Editore: World Scientific Publishing Company, Incorporated, 2011

pp. ix + 339. Codice articolo 263187335

Riassunto:

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.

Dalla quarta di copertina: 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.

Dati bibliografici

Titolo: The Descent Map from Automorphic ...
Casa editrice: World Scientific Publishing Company, Incorporated
Data di pubblicazione: 2011
Legatura: Rilegato
Condizione: Used