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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.


Orbites Nilpotentes Sphériques et Représentations unipotentes associées: Le cas $\bf SL{\textunderscore }n$
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by Hervé Sabourin
Represent. Theory 9 (2005), 468-506
Published electronically: August 11, 2005


Let $G$ be a real simple Lie group and $\mathfrak {g}$ its Lie algebra. Given a nilpotent adjoint $G$-orbit $O$, the question is to determine the irreducible unitary representations of $G$ that we can associate to $O$, according to the orbit method. P. Torasso gave a method to solve this problem if $O$ is minimal. In this paper, we study the case where $O$ is any spherical nilpotent orbit of $sl_n({\mathbb R})$, we construct, from $O$, a family of representations of the two-sheeted covering of $SL_n({\mathbb R})$ with Torasso’s method and, finally, we show that all these representations are associated to the corresponding orbit.
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Bibliographic Information
  • Hervé Sabourin
  • Affiliation: UMR 6086 CNRS, Département de Mathématiques, Université de Poitiers, Boulevard Marie et Pierre Curie, Téléport 2 - BP 30179, 86962 Futuroscope Chasseneuil cedex, France
  • Email:
  • Received by editor(s): June 11, 2003
  • Received by editor(s) in revised form: April 6, 2005
  • Published electronically: August 11, 2005
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 9 (2005), 468-506
  • MSC (2000): Primary 20G05, 22E46, 22E47
  • DOI:
  • MathSciNet review: 2167903