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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A Kloosterman sum in a relative trace formula for $GL_4$
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by Yangbo Ye
Represent. Theory 2 (1998), 370-392
Published electronically: September 16, 1998


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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Bibliographic 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