Local theta correspondence and minimalK-types of positive depth

  • Shu-Yen Pan


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.

Copyright information

© The Hebrew University Magnes Press 2003

Authors and Affiliations

  • Shu-Yen Pan
    • 1
  1. 1.Department of MathematicsNational Cheng Kung UniversityTainan CityTaiwan

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