Wave front sets of reductive Lie group representations II
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- by Benjamin Harris PDF
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Abstract:
In this paper it is shown that the wave front set of a direct integral of singular, irreducible representations of a real, reductive algebraic group is contained in the singular set. Combining this result with the results of the first paper in this series, the author obtains asymptotic results on the occurrence of tempered representations in induction and restriction problems for real, reductive algebraic groups.References
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Additional Information
- Benjamin Harris
- Affiliation: Department of Mathematics, Bard College at Simon’s Rock, Great Barrington, Massachusetts 01230
- MR Author ID: 844407
- Email: Benjamin.Harris@simons-rock.edu
- Received by editor(s): January 16, 2015
- Received by editor(s) in revised form: March 26, 2017
- Published electronically: November 30, 2017
- Additional Notes: The author was an NSF VIGRE postdoc at Louisiana State University while this research was conducted.
- © Copyright 2017 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 370 (2018), 5931-5962
- MSC (2010): Primary 22E46, 22E45, 43A85
- DOI: https://doi.org/10.1090/tran/7282
- MathSciNet review: 3812114