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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.


Relations between cusp forms sharing Hecke eigenvalues
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by Dipendra Prasad and Ravi Raghunathan
Represent. Theory 26 (2022), 1063-1079
Published electronically: October 7, 2022


In this paper we consider the question of when the set of Hecke eigenvalues of a cusp form on $GL_n(\mathbb {A}_F)$ is contained in the set of Hecke eigenvalues of a cusp form on $GL_m(\mathbb {A}_F)$ for $n \leq m$. This question is closely related to a question about finite dimensional representations of an abstract group, which also we consider in this work.
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Bibliographic Information
  • Dipendra Prasad
  • Affiliation: Indian Institute of Technology Bombay, Powai, Mumbai-400076, India; and St Petersburg State University, St Petersburg, Russia
  • MR Author ID: 291342
  • Email:
  • Ravi Raghunathan
  • Affiliation: Indian Institute of Technology Bombay, Powai, Mumbai-400076, India
  • MR Author ID: 601543
  • Email:
  • Received by editor(s): December 7, 2021
  • Received by editor(s) in revised form: July 16, 2022
  • Published electronically: October 7, 2022
  • Additional Notes: The first author was supported by the Science and Engineering Research Board of the Department of Science and Technology, India through the JC Bose National Fellowship of the Govt. of India, project number JBR/2020/000006. His work was also supported by a grant of the Government of the Russian Federation for the state support of scientific research carried out under the agreement 14.W03.31.0030 dated 15.02.2018.
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 1063-1079
  • MSC (2020): Primary 11F70; Secondary 22E55
  • DOI:
  • MathSciNet review: 4493873