Israel Journal of Mathematics

, Volume 201, Issue 1, pp 1–24 | Cite as

Transfers of K-types on local theta lifts of characters and unitary lowest weight modules

  • Hung Yean LokeEmail author
  • Jia-Jun Ma
  • U-Liang Tang


In this paper we study representations of the indefinite orthogonal group O(n,m) which are local theta lifts of one-dimensional characters or unitary lowest weight modules of the double covers of the symplectic groups. We apply the transfer of K-types on these representations of O(n,m), and we study their effects on the dual pair correspondences. These results provide examples that the theta lifting is compatible with the transfer of K-types. Finally, we will use these results to study subquotients of some cohomologically induced modules.


Double Cover Stable Range Wallach Parabolic Subalgebra Theta Correspondence 
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© Hebrew University of Jerusalem 2014

Authors and Affiliations

  1. 1.Department of MathematicsNational University of SingaporeSingaporeSingapore
  2. 2.Department of MathematicsBen-Gurion University of the NegevBe’er ShevaIsrael
  3. 3.School of Mathematics and ScienceSingapore PolytechnicSingaporeSingapore

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