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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfa.2007.08.009
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dc.titleCovariants of Spn (C) and degenerate principal series of GLn (H)
dc.contributor.authorLee, S.T.
dc.date.accessioned2014-10-28T02:33:06Z
dc.date.available2014-10-28T02:33:06Z
dc.date.issued2007-12-01
dc.identifier.citationLee, S.T. (2007-12-01). Covariants of Spn (C) and degenerate principal series of GLn (H). Journal of Functional Analysis 253 (1) : 18-42. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfa.2007.08.009
dc.identifier.issn00221236
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103082
dc.description.abstractLet m ≤ n and let P (M2 n, m)SLm be the algebra of all SLm (C) invariant polynomials on the space M2 n, m of all 2 n × m complex matrices. We determine the free generators of its subalgebra of Spn (C) covariants. These generators are given as pfaffians. They are used to study the degenerate principal series representations of GLn (H) induced from characters of a maximal parabolic subgroup. We determine the composition series and unitarity of these representations. © 2007 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jfa.2007.08.009
dc.sourceScopus
dc.subjectComposition series
dc.subjectDegenerate principal series
dc.subjectHighest weight vectors
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.jfa.2007.08.009
dc.description.sourcetitleJournal of Functional Analysis
dc.description.volume253
dc.description.issue1
dc.description.page18-42
dc.description.codenJFUAA
dc.identifier.isiut000251549500002
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