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Title: Howe quotients of unitary characters and unitary lowest weight modules
Authors: Loke, H.Y. 
Lee, S.T. 
Keywords: Composition series
Howe quotients
Local theta lifts
Unitary characters
Unitary lowest weight modules
Issue Date: 2006
Citation: Loke, H.Y.,Lee, S.T. (2006). Howe quotients of unitary characters and unitary lowest weight modules. Representation Theory 10 : 21-47. ScholarBank@NUS Repository.
Abstract: In this paper, let (G, G′) be the dual pair (S̃p(p, ℝ), Õ(n, m)). We will determine the composition series of the Howe quotients of G′ which are lifts from one-dimensional unitary representations of G and unitary lowest weight modules of G. We will also determine the unitarizability of the subquotients. Our method also works for the dual pairs (Ũ(p, q), U(n, m)) and (Õ* (2P), S̃p(n, m)). © 2006 American Mathematical Society.
Source Title: Representation Theory
ISSN: 10884165
DOI: 10.1090/S1088-4165-06-00279-2
Appears in Collections:Staff Publications

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