On the singular rank of a representation
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- by Jian-Shu Li PDF
- Proc. Amer. Math. Soc. 106 (1989), 567-571 Request permission
Abstract:
Consider the reductive dual pair $({\text {S}}{{\text {p}}_{2n}},{{\text {O}}_{p,q}})$. We prove that if $\pi$ is a representation of ${\text {S}}{{\text {p}}_{2n}}$ coming from duality correspondence with some representation of ${{\text {O}}_{p,q}}$ then the wave front set of $\pi$ has rank $\leq p + q$. For $p + q < n$ this implies a result stated (but not proved) by Howe.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 567-571
- MSC: Primary 22E46; Secondary 22E45, 22E47
- DOI: https://doi.org/10.1090/S0002-9939-1989-0961413-8
- MathSciNet review: 961413