Local theta correspondence and minimalK-types of positive depth
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- Pan, S. Isr. J. Math. (2003) 138: 317. doi:10.1007/BF02783431
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In this paper we prove that two irreducible admissible representations of positive depth paired by the theta correspondence over ap-adic field have unrefined minimalK-types paired by the orbit correspondence. An application of our main result is that a positive depth character of a unitary group occurs as late as possible in the theta correspondence.