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Local Theta Correspondence for Small Unitary Groups

Shu-Yen Pan
Transactions of the American Mathematical Society
Vol. 358, No. 4 (Apr., 2006), pp. 1511-1535
Stable URL: http://www.jstor.org/stable/3845535
Page Count: 25
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Local Theta Correspondence for Small Unitary Groups
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Abstract

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

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