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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.


Speh representations are relatively discrete
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by Jerrod Manford Smith PDF
Represent. Theory 24 (2020), 525-550 Request permission


Let $F$ be a $p$-adic field of characteristic zero and odd residual characteristic. Let $\mathbf {Sp}_{2n}(F)$ denote the symplectic group defined over $F$, where $n\geq 2$. We prove that the Speh representations $\mathcal {U}(\delta ,2)$, where $\delta$ is a discrete series representation of $\mathbf {GL}_n(F)$, lie in the discrete spectrum of the $p$-adic symmetric space $\mathbf {Sp}_{2n}(F) \backslash \mathbf {GL}_{2n}(F)$.
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Additional Information
  • Jerrod Manford Smith
  • Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4
  • MR Author ID: 964846
  • Email:
  • Received by editor(s): August 3, 2018
  • Received by editor(s) in revised form: July 9, 2020
  • Published electronically: October 27, 2020
  • © Copyright 2020 American Mathematical Society
  • Journal: Represent. Theory 24 (2020), 525-550
  • MSC (2010): Primary 22E50; Secondary 22E35
  • DOI:
  • MathSciNet review: 4166987