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ISSN 1088-6850(e) ISSN 0002-9947(p)

Local theta correspondence for small unitary groups

Author: Shu-Yen Pan
Journal: Trans. Amer. Math. Soc. 358 (2006), 1511-1535
MSC (2000): Primary 22E50; Secondary 11F27, 22E35
Posted: October 31, 2005
MathSciNet review: 2186984
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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 $({\rm U}_1(F),{\rm U}_1(F))$ , $({\rm U}_1(F),{\rm U}_{1,1}(F))$ , $({\rm U}_1(F),{\rm U}_{2}(F))$ , and $({\rm U}_1(F),{\rm U}_{1,2}(F))$ of unitary groups over a nonarchimedean local field of odd residue characteristic.

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