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

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

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    • Format
    • Bog, hardback
    • Engelsk
    • 352 sider

    Beskrivelse

    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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    Eisenstein series L-functions Automorphic Representations Fourier–Jacobi Coefficients Gelfand–Graev Coefficients Jacquet Module Langlands Functoriality Fourier–Jacobi Coefficients Gelfand–Graev Coefficients Rankin–Selberg Integrals Rankin–Sel Whittaker Mode

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