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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.


Irreducible Genuine Characters of the Metaplectic Group: Kazhdan-Lusztig Algorithm and Vogan Duality
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by David A. Renard and Peter E. Trapa
Represent. Theory 4 (2000), 245-295
Published electronically: July 31, 2000


We establish a Kazhdan-Lusztig algorithm to compute characters of irreducible genuine representations of the (nonlinear) metaplectic group with half-integral infinitesimal character. We then prove a character multiplicity duality theorem for representations of $Mp(2n,\mathbb R)$ at fixed half-integral infinitesimal character. This allows us to extend some of Langlands’ ideas to $Mp(2n,\mathbb R)$.
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Bibliographic Information
  • David A. Renard
  • Affiliation: University of Poitiers, Laboratoire de Mathématiques, BP 179, 86960 Futuroscope Cedex, France
  • Email:
  • Peter E. Trapa
  • Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540
  • Address at time of publication: Department of Mathematics, Harvard University, Cambridge, MA 02138
  • Email:
  • Received by editor(s): November 12, 1999
  • Received by editor(s) in revised form: April 28, 2000
  • Published electronically: July 31, 2000
  • Additional Notes: The first author acknowledges the support of NSF grant DMS97-29992 and the Ellentuck Fund of the Institute for Advanced Study
    The second author acknowledges the support of NSF grant DMS97-29995
  • © Copyright 2000 American Mathematical Society
  • Journal: Represent. Theory 4 (2000), 245-295
  • MSC (2000): Primary 22E47; Secondary 22E50
  • DOI:
  • MathSciNet review: 1795754