Please use this identifier to cite or link to this item: https://doi.org/10.1006/jfan.1999.3450
DC FieldValue
dc.titleRestrictions of Quaternionic Representations
dc.contributor.authorLoke, H.Y.
dc.date.accessioned2014-10-28T02:44:44Z
dc.date.available2014-10-28T02:44:44Z
dc.date.issued2000-04-20
dc.identifier.citationLoke, 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
dc.identifier.issn00221236
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104055
dc.description.abstractIn 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1006/jfan.1999.3450
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1006/jfan.1999.3450
dc.description.sourcetitleJournal of Functional Analysis
dc.description.volume172
dc.description.issue2
dc.description.page377-403
dc.description.codenJFUAA
dc.identifier.isiut000086733400003
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