Israel Journal of Mathematics

, 138:317

Local theta correspondence and minimalK-types of positive depth

  • Shu-Yen Pan
Article

DOI: 10.1007/BF02783431

Cite this article as:
Pan, S. Isr. J. Math. (2003) 138: 317. doi:10.1007/BF02783431

Abstract

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