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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.


Cocenters and representations of pro-$p$ Hecke algebras
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by Xuhua He and Sian Nie
Represent. Theory 21 (2017), 82-105
Published electronically: June 23, 2017


In this paper, we study the relation between the cocenter $\overline {{\tilde {\mathcal H}}}$ and the representations of an affine pro-$p$ Hecke algebra ${\tilde {\mathcal H}}={\tilde {\mathcal H}}(0, -)$. As a consequence, we obtain a new criterion on supersingular representations: a (virtual) representation of ${\tilde {\mathcal H}}$ is supersingular if and only if its character vanishes on the non-supersingular part of the cocenter $\overline {\tilde {\mathcal H}}$.
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Bibliographic Information
  • Xuhua He
  • Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
  • MR Author ID: 733194
  • Email:
  • Sian Nie
  • Affiliation: Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
  • Email:
  • Received by editor(s): May 11, 2016
  • Received by editor(s) in revised form: October 10, 2016, December 1, 2016, February 26, 2017, and May 10, 2017
  • Published electronically: June 23, 2017
  • Additional Notes: The first author was partially supported by NSF DMS-1463852. The second author was partially supported by NSFC (No. 11501547 and No. 11621061.) and by the Key Research Program of Frontier Sciences, CAS, Grant No. QYZDB-SSW-SYS007.
  • © Copyright 2017 American Mathematical Society
  • Journal: Represent. Theory 21 (2017), 82-105
  • MSC (2010): Primary 20C08, 20C20, 22E50
  • DOI:
  • MathSciNet review: 3665615