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On the dual pairs
(O(p,q),SL(2, ℝ)),
(U(p,q),U(1,1)) and
(Sp(p,q),O∗(4))
Annegret Paul and Eng-Chye Tan |
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Vol. 187 (1999), No. 2, 349–378
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Abstract |
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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. |
Milestones
Received: 22 September 1997
Revised: 3 March 1998
Published: 1 February 1999
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Authors |
| Annegret Paul | |
| Eng-Chye Tan | |
| National University of
Singapore Kent Ridge, Singapore 119260 Singapore |
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