# Restrictions of Quaternionic Representations

@article{Loke2000RestrictionsOQ, title={Restrictions of Quaternionic Representations}, author={Hung Yean Loke}, journal={Journal of Functional Analysis}, year={2000}, volume={172}, pages={377-403} }

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…

## 13 Citations

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