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Distinguished representations of GL(n) and local converse theorems

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Abstract

These notes establish a local converse theorem for irreducible, distinguished, supercuspidal representations of GL(n) relative to GL(n −2) twists. Our methods may also be used to give an entirely new proof of the local converse theorem of Chen, Cogdell and Piatetski-Shapiro.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, American University, Washington, DC, 20016, USA

    Jeffrey Hakim

  2. Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Omer Offen

Authors
  1. Jeffrey Hakim
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  2. Omer Offen
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Correspondence to Omer Offen.

Additional information

Jeffrey Hakim: Supported by NSF Grant DMS-0854844 and NSA Grant H98230-13-1-0202.

Omer Offen: Supported by ISF Grant No. 1394/12.

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Hakim, J., Offen, O. Distinguished representations of GL(n) and local converse theorems. manuscripta math. 148, 1–27 (2015). https://doi.org/10.1007/s00229-015-0740-z

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  • DOI: https://doi.org/10.1007/s00229-015-0740-z

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