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Degenerate principal series and local theta correspondence II

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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 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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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore, Republic of Singapore

    Soo Teck Lee & Chen-Bo Zhu

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  1. Soo Teck Lee
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  2. Chen-Bo Zhu
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Correspondence to Soo Teck Lee.

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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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