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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.


Representation theoretic embedding of twisted Dirac operators
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by S. Mehdi and P. Pandžić
Represent. Theory 25 (2021), 760-779
Published electronically: September 20, 2021


Let $G$ be a non-compact connected semisimple real Lie group with finite center. Suppose $L$ is a non-compact connected closed subgroup of $G$ acting transitively on a symmetric space $G/H$ such that $L\cap H$ is compact. We study the action on $L/L\cap H$ of a Dirac operator $D_{G/H}(E)$ acting on sections of an $E$-twist of the spin bundle over $G/H$. As a byproduct, in the case of $(G,H,L)=(SL(2,{\mathbb R})\times SL(2,{\mathbb R}),\Delta (SL(2,{\mathbb R})\times SL(2,{\mathbb R})),SL(2,{\mathbb R})\times SO(2))$, we identify certain representations of $L$ which lie in the kernel of $D_{G/H}(E)$.
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Bibliographic Information
  • S. Mehdi
  • Affiliation: Institut Elie Cartan de Lorraine, CNRS - UMR 7502, Université de Lorraine, France
  • MR Author ID: 609901
  • Email:
  • P. Pandžić
  • Affiliation: Department of Mathematics, Faculty of Science, University of Zagreb, Croatia
  • ORCID: 0000-0002-7405-4381
  • Email:
  • Received by editor(s): February 6, 2021
  • Received by editor(s) in revised form: June 6, 2021
  • Published electronically: September 20, 2021
  • Additional Notes: The second author was supported by the QuantiXLie Center of Excellence, a project cofinanced by the Croatian Government and European Union through the European Regional Development Fund - the Competitiveness and Cohesion Operational Programme (KK.
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 760-779
  • MSC (2020): Primary 22E46; Secondary 43A85
  • DOI:
  • MathSciNet review: 4315588