Tempered representations and nilpotent orbits
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- by Benjamin Harris
- Represent. Theory 16 (2012), 610-619
- DOI: https://doi.org/10.1090/S1088-4165-2012-00414-9
- Published electronically: December 13, 2012
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Abstract:
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.References
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Bibliographic Information
- Benjamin Harris
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 844407
- Email: blharris@math.mit.edu
- 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: https://doi.org/10.1090/S1088-4165-2012-00414-9
- MathSciNet review: 3001468