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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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.


Branching of metaplectic representation of $Sp(2, \mathbb R)$ under its principal $SL(2, \mathbb R)$-subgroup
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by GenKai Zhang PDF
Represent. Theory 26 (2022), 498-514 Request permission


We study the branching problem of the metaplectic representation of $Sp(2, \mathbb R)$ under its principle subgroup $SL(2, \mathbb R)$. We find the complete decomposition.
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Additional Information
  • GenKai Zhang
  • Affiliation: Mathematical Sciences, Chalmers University of Technology and Mathematical Sciences, Göteborg University, SE-412 96 Göteborg, Sweden
  • MR Author ID: 230134
  • ORCID: 0000-0003-1147-3391
  • Email:
  • Received by editor(s): September 3, 2021
  • Received by editor(s) in revised form: December 12, 2021, and February 7, 2022
  • Published electronically: April 25, 2022
  • Additional Notes: The research for this work was supported by the Swedish Science Council (VR)
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 498-514
  • MSC (2020): Primary 22E45, 43A80, 43A90
  • DOI:
  • MathSciNet review: 4412276