An application of the regularized Siegel-Weil formula on unitary groups to a theta lifting problem
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- by Victor Tan PDF
- Proc. Amer. Math. Soc. 127 (1999), 2811-2820 Request permission
Abstract:
Let $U(2)$ and $U(2,1)$ be the pair of unitary groups over a global field $F$ and $\pi$ an irreducible cuspidal representation of $U(2)$ which satisfies a certain $L$-function condition. By using a regularized Siegel-Weil formula, we can show that the global theta lifting of $\pi$ in $U(2,1)$ is non-trivial if every local factor $\pi _{\upsilon }$ of $\pi$ has a local theta lifting (Howe lifting) in $U(2,1)(F_{\upsilon })$.References
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Additional Information
- Victor Tan
- Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
- Email: mattanv@nus.edu.sg
- Received by editor(s): December 2, 1997
- Published electronically: April 23, 1999
- Communicated by: Dennis A. Hejhal
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2811-2820
- MSC (1991): Primary 11F70; Secondary 11F27, 22E50
- DOI: https://doi.org/10.1090/S0002-9939-99-05173-4
- MathSciNet review: 1641117