Description

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.

Descent Map From Automorphic Representations Of Gl(n) To Classical Groups, The

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Hardback by David Soudry , David Ginzburg

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This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 04/07/2011
    ISBN13: 9789814304986, 978-9814304986
    ISBN10: 9814304980

    Number of Pages: 352

    Non Fiction , Mathematics & Science , Education

    Description

    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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