# 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}
}
• 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…
13 Citations

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