Multiplicity one theorems for Fourier-Jacobi models
By Binyong Sun. 2009
76 citations recorded by the source corpus.
For every genuine irreducible admissible smooth representation $\pi$ of the metaplectic group $\widetilde{{\rm Sp}}(2n)$ over a $p$-adic field, and every smooth oscillator representation $\omega_\psi$ of $\widetilde{{\rm Sp}}(2n)$, we prove that the tensor product $\pi\otimes\omega_\psi$ is multiplicity free as a smooth representation of the symplectic group ${\rm Sp}(2n)$. Similar results are proved for general linear groups and unitary groups.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/fbbfb6479ab423f21d909acbf9363328cae947b1
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In Geometry and Topology
- W. Gan
- Atsushi Ichino
- Hiraku Atobe
- Wei Zhang
- Paul D. Nelson
- Shuichiro Takeda
- Ralf Schmidt
- Michael Rapoport
In Mathematical Physics
- W. Gan
- Atsushi Ichino
- Wei Zhang
- Hiraku Atobe
- Shuichiro Takeda
- Paul D. Nelson
- Michael Rapoport
- Ralf Schmidt
Citations in the corpus
- The Gross–Prasad conjecture and local theta correspondence (2014, result): “By surprisingly recent results of Aizenbud-Gourevitch-Rallis-Schiffmann [1] and Sun [17], it is known that the above Hom spaces have dimension at most 1.”