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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
Article

Abstract

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.

Keywords

Double Cover Stable Range Wallach Parabolic Subalgebra Theta Correspondence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© 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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