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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.


Admissible nilpotent coadjoint orbits of p-adic reductive Lie groups
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by Monica Nevins
Represent. Theory 3 (1999), 105-126
Published electronically: June 22, 1999


The orbit method conjectures a close relationship between the set of irreducible unitary representations of a Lie group $G$, and admissible coadjoint orbits in the dual of the Lie algebra. We define admissibility for nilpotent coadjoint orbits of $p$-adic reductive Lie groups, and compute the set of admissible orbits for a range of examples. We find that for unitary, symplectic, orthogonal, general linear and special linear groups over $p$-adic fields, the admissible nilpotent orbits coincide with the so-called special orbits defined by Lusztig and Spaltenstein in connection with the Springer correspondence.
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Bibliographic Information
  • Monica Nevins
  • Affiliation: Department of Mathematics, University of Alberta, Edmonton, AB T6G 2G1, Canada
  • Email:
  • Received by editor(s): December 7, 1998
  • Received by editor(s) in revised form: February 2, 1999
  • Published electronically: June 22, 1999
  • Additional Notes: Ph.D. research supported by a teaching assistantship in the Department of Mathematics at MIT, and by an ‘NSERC 1967’ Scholarship from the Natural Sciences and Engineering Research Council of Canada. Postdoctoral research supported by the Killam Trust
  • © Copyright 1999 American Mathematical Society
  • Journal: Represent. Theory 3 (1999), 105-126
  • MSC (1991): Primary 20G25; Secondary 22E50
  • DOI:
  • MathSciNet review: 1698202