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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.


Formal degrees and the local theta correspondence: The quaternionic case
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by Hirotaka Kakuhama
Represent. Theory 26 (2022), 1192-1267
Published electronically: December 20, 2022


In this paper, we determine a constant occurring in a local analogue of the Siegel-Weil formula, and describe the behavior of the formal degrees under the local theta correspondence for a quaternionic dual pair of almost equal rank over a non-Archimedean local field of characteristic $0$. As an application, we prove the formal degree conjecture of Hiraga, Ichino and Ikeda for the non-split inner forms of $\mathrm {Sp}_4$ and $\mathrm {GSp}_4$.
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Bibliographic Information
  • Hirotaka Kakuhama
  • Affiliation: Department of Mathematics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan
  • MR Author ID: 1397480
  • ORCID: 0000-0002-8684-6810
  • Email:
  • Received by editor(s): August 14, 2021
  • Received by editor(s) in revised form: June 9, 2022
  • Published electronically: December 20, 2022
  • Additional Notes: This research was supported by JSPS KAKENHI Grant Number JP20J11509.
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 1192-1267
  • MSC (2020): Primary 11F27; Secondary 22E50
  • DOI:
  • MathSciNet review: 4524114