Local theta correspondence for small unitary groups

Pan, Shu-Yen

doi:10.1090/S0002-9947-05-03874-2

Local theta correspondence for small unitary groups
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Trans. Amer. Math. Soc. 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.

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