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https://doi.org/10.1006/jfan.1999.3450
Title: | Restrictions of Quaternionic Representations | Authors: | Loke, H.Y. | Issue Date: | 20-Apr-2000 | Citation: | Loke, H.Y. (2000-04-20). Restrictions of Quaternionic Representations. Journal of Functional Analysis 172 (2) : 377-403. ScholarBank@NUS Repository. https://doi.org/10.1006/jfan.1999.3450 | Abstract: | 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 of real rank 4 and investigate the correspondences of certain compact dual pairs. © 2000 Academic Press. | Source Title: | Journal of Functional Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/104055 | ISSN: | 00221236 | DOI: | 10.1006/jfan.1999.3450 |
Appears in Collections: | Staff Publications |
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