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Title: On the dual pairs (O(p, q), SL(2, ℝ)), (U(p,q), U(1, 1)) and (Sp(p, q), O*(4))
Authors: Paul, A.
Tan, E.-C. 
Issue Date: Feb-1999
Citation: Paul, A.,Tan, E.-C. (1999-02). On the dual pairs (O(p, q), SL(2, ℝ)), (U(p,q), U(1, 1)) and (Sp(p, q), O*(4)). Pacific Journal of Mathematics 187 (2) : 349-378. ScholarBank@NUS Repository.
Abstract: We describe the Howe quotient and theta lift for one-dimensional representations of the dual pairs (O(p, q), SL(2, ℝ)), (U(p, q), U(1, 1)), (Sp(p, q), O*(4)), by explicitly constructing the Howe quotients (of the representations in correspondence) using the Fock model.
Source Title: Pacific Journal of Mathematics
ISSN: 00308730
Appears in Collections:Staff Publications

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