Covariants of Spn (C) and degenerate principal series of GLn (H)

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfa.2007.08.009

Title:	Covariants of Spn (C) and degenerate principal series of GLn (H)
Authors:	Lee, S.T.
Keywords:	Composition series Degenerate principal series Highest weight vectors
Issue Date:	1-Dec-2007
Citation:	Lee, 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
Abstract:	Let 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.
Source Title:	Journal of Functional Analysis
URI:	http://scholarbank.nus.edu.sg/handle/10635/103082
ISSN:	00221236
DOI:	10.1016/j.jfa.2007.08.009
Appears in Collections:	Staff Publications

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