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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.


Coincidence of algebraic and smooth theta correspondences
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by YiXin Bao and BinYong Sun
Represent. Theory 21 (2017), 458-466
Published electronically: November 1, 2017


An “automatic continuity” question has naturally occurred since Roger Howe established the local theta correspondence over $\mathbb R$: Does the algebraic version of local theta correspondence over $\mathbb R$ agree with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor.
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Bibliographic Information
  • YiXin Bao
  • Affiliation: School of Sciences, Harbin Institute of Technology, Shenzhen, 518055, China
  • MR Author ID: 947459
  • Email:
  • BinYong Sun
  • Affiliation: Academy of Mathematics and Systems Science, Chinese Academy of Sciences –and– School of Mathematics, University of Chinese Academy of Sciences, Beijing, 100190, China
  • MR Author ID: 805605
  • Email:
  • Received by editor(s): January 13, 2017
  • Received by editor(s) in revised form: May 26, 2017, and August 10, 2017
  • Published electronically: November 1, 2017
  • Additional Notes: The second author was supported in part by the National Natural Science Foundation of China (No. 11525105, 11688101, 11621061 and 11531008).
  • © Copyright 2017 American Mathematical Society
  • Journal: Represent. Theory 21 (2017), 458-466
  • MSC (2010): Primary 22E46, 22E50
  • DOI:
  • MathSciNet review: 3718456