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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Tempered representations and nilpotent orbits
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by Benjamin Harris PDF
Represent. Theory 16 (2012), 610-619 Request permission


Given a nilpotent orbit $\mathcal {O}$ of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation $\pi$ such that $\mathcal {O}$ occurs in the wave front cycle of $\pi$. The coefficients of the wave front cycle of a tempered representation are expressed in terms of volumes of precompact submanifolds of an affine space.
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Additional Information
  • Benjamin Harris
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 844407
  • Email:
  • Received by editor(s): October 19, 2010
  • Received by editor(s) in revised form: May 28, 2011, and September 18, 2011
  • Published electronically: December 13, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 610-619
  • MSC (2010): Primary 22E46; Secondary 43A65, 22E45
  • DOI:
  • MathSciNet review: 3001468