Restrictions of Quaternionic Representations

  title={Restrictions of Quaternionic Representations},
  author={Hung Yean Loke},
  journal={Journal of Functional Analysis},
  • Hung Yean Loke
  • Published 20 April 2000
  • Mathematics
  • Journal of Functional Analysis
In a paper by Gross and Wallach [1996, J. Reine Angew. Math.481, 73–123] the K-types of the continuations of the quaternionic discrete series of a quaternionic Lie group G are associated with projective orbits O of certain subgroups in G(C). In this paper, we will show that the restrictions of the representations to quaternionic subgroups are closely related with the intersection of the Zariski closure of O with hyperplanes. We apply this to the minimal representations of the exceptional groups… 

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