Israel Journal of Mathematics

, Volume 100, Issue 1, pp 29–59

Degenerate principal series and local theta correspondence II


DOI: 10.1007/BF02773634

Cite this article as:
Lee, S.T. & Zhu, CB. Isr. J. Math. (1997) 100: 29. doi:10.1007/BF02773634


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].

Copyright information

© Hebrew University 1997

Authors and Affiliations

  1. 1.Department of MathematicsNational University of SingaporeSingaporeRepublic of Singapore

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