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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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A Kloosterman sum in a relative trace formula for $GL_4$
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by Yangbo Ye PDF
Represent. Theory 2 (1998), 370-392 Request permission


We study a Kloosterman sum for $GL_4$ and prove that it is equal to an exponential sum over a quadratic number field. This identity has applications in a relative trace formula for $GL_4$ which might be used to give a new proof of quadratic base change and characterize its image.
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Additional Information
  • Yangbo Ye
  • Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242-1419
  • MR Author ID: 261621
  • Email:
  • Received by editor(s): April 9, 1997
  • Received by editor(s) in revised form: August 27, 1998
  • Published electronically: September 16, 1998
  • © Copyright 1998 American Mathematical Society
  • Journal: Represent. Theory 2 (1998), 370-392
  • MSC (1991): Primary 11L05; Secondary 11F70, 22E55
  • DOI:
  • MathSciNet review: 1641835