On representations distinguished by unitary groups

Brooke Feigon; Erez Lapid; Omer Offen

doi:10.1007/s10240-012-0040-z

Brooke Feigon ¹ ; Erez Lapid ² ; Omer Offen ³

¹ Department of Mathematics, The City College of New York New York, NY, 10031 USA
² Institute of Mathematics, The Hebrew University of Jerusalem Jerusalem, 91904 Israel
³ Department of Mathematics, Technion-Israel Institute of Technology Haifa, 32000 Israel

Publications Mathématiques de l'IHÉS, Volume 115 (2012), pp. 185-323

Abstract

Let $E / F$ be a quadratic extension of number fields. We study periods and regularized periods of cusp forms and Eisenstein series on ${GL}_{n} (𝐀_{E})$ over a unitary group of a Hermitian form with respect to $E / F$ . We provide factorization for these periods into locally defined functionals, express these factors in terms of suitably defined local periods and characterize global distinction. We also study in detail the analogous local question and analyze the space of invariant linear forms under a unitary group. be a quadratic extension of number fields. We study periods and regularized periods of cusp forms and Eisenstein series on over a unitary group of a Hermitian form with respect to

Received: 2011-03-10
Accepted: 2012-04-28
Online First: 2012-06-01
Published online: 2012-06-07

MR Zbl

DOI: 10.1007/s10240-012-0040-z

Author's affiliations:

Brooke Feigon ¹; Erez Lapid ²; Omer Offen ³

¹ Department of Mathematics, The City College of New York New York, NY, 10031 USA
² Institute of Mathematics, The Hebrew University of Jerusalem Jerusalem, 91904 Israel
³ Department of Mathematics, Technion-Israel Institute of Technology Haifa, 32000 Israel

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     title = {On representations distinguished by unitary groups},
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     pages = {185--323},
     year = {2012},
     publisher = {Springer-Verlag},
     volume = {115},
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%A Erez Lapid
%A Omer Offen
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Brooke Feigon; Erez Lapid; Omer Offen. On representations distinguished by unitary groups. Publications Mathématiques de l'IHÉS, Volume 115 (2012), pp. 185-323. doi: 10.1007/s10240-012-0040-z

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