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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.


Weak cuspidality and the Howe correspondence
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by Jesua Epequin
Represent. Theory 26 (2022), 1080-1096
Published electronically: October 14, 2022


We study the effect of the Howe correspondence on Harish-Chandra series for type I dual pairs over finite fields with odd characteristic. We define a bijection obtained from this correspondence, and enjoying the property of “having minimal unipotent support”. Finally, we examine the interaction between the Howe correspondence and weak cuspidality.
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Bibliographic Information
  • Jesua Epequin
  • Affiliation: Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100190, People’s Republic of China
  • MR Author ID: 1331438
  • Received by editor(s): December 5, 2020
  • Received by editor(s) in revised form: September 26, 2021, and June 5, 2022
  • Published electronically: October 14, 2022
  • Additional Notes: The author was supported by the Academy of Mathematics and Systems Science (AMSS) of the Chinese Academy of Science (CAS), and Concytec-Fondecyt-Perú (subvención Nro. 220 - 2014 - Fondecyt) during the preparation of this work.
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 1080-1096
  • MSC (2020): Primary 20C33
  • DOI:
  • MathSciNet review: 4496972