Degenerate principal series and local theta correspondence II |
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| Authors: | Soo Teck Lee Chen-Bo Zhu |
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| Affiliation: | (1) Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260 Singapore, Republic of Singapore |
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| Abstract: | Following our previous paper [LZ] which deals with the groupU(n, n), we study the structure of certain Howe quotients Ω p,q and Ω p,q (1) which are natural Sp(2n,R) modules arising from the Oscillator representation associated with the dual pair (O(p, q), Sp(2n,R)), by embedding them into the degenerate principal series representations of Sp(2n,R) studied in [L2]. |
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