## Local theta correspondence for small unitary groups

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**358**(2006), 1511-1535 Request permission

## Abstract:

In this paper we give an explicit parameterization of the local theta correspondence of supercuspidal representations for the reductive dual pairs $(\textrm {U}_1(F),\textrm {U}_1(F))$, $(\textrm {U}_1(F),\textrm {U}_{1,1}(F))$, $(\textrm {U}_1(F),\textrm {U}_{2}(F))$, and $(\textrm {U}_1(F),\textrm {U}_{1,2}(F))$ of unitary groups over a nonarchimedean local field $F$ of odd residue characteristic.## References

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## Additional Information

**Shu-Yen Pan**- Affiliation: National Center for Theoretical Sciences and Department of Mathematics, National Cheng Kung University, Tainan City 701, Taiwan
- Address at time of publication: National Center for Theoretical Sciences and Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan
- Email: sypan@mail.ncku.edu.tw, sypan@math.nthu.edu.tw
- Received by editor(s): March 15, 2004
- Published electronically: October 31, 2005
- Additional Notes: This project was supported by NSC-grant 91-2119-M-006-019 of Taiwan
- © Copyright 2005 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**358**(2006), 1511-1535 - MSC (2000): Primary 22E50; Secondary 11F27, 22E35
- DOI: https://doi.org/10.1090/S0002-9947-05-03874-2
- MathSciNet review: 2186984