Abstract
Following our previous paper [LZ] which deals with the groupU(n, n), we study the structure of certain Howe quotients Ωp,q and Ωp,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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Lee, S.T., Zhu, CB. Degenerate principal series and local theta correspondence II. Isr. J. Math. 100, 29–59 (1997). https://doi.org/10.1007/BF02773634
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DOI: https://doi.org/10.1007/BF02773634