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The multiplicity one conjecture for local theta correspondences

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Abstract

Over a non-archimedean local field of characteristic zero, we prove multiplicity preservation of local theta correspondences for orthogonal-symplectic dual pairs. The same proof works for dual pairs of unitary groups.

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Authors and Affiliations

  1. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

    Jian-Shu Li

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, PR China

    Binyong Sun & Ye Tian

Authors
  1. Jian-Shu Li
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  2. Binyong Sun
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  3. Ye Tian
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Corresponding author

Correspondence to Jian-Shu Li.

Additional information

J.-S. Li was supported in part by RGC-GRF grants 601606 and 602410 of HKSAR. B. Sun was supported by NSFC grants 10801126 and 10931006.

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Li, JS., Sun, B. & Tian, Y. The multiplicity one conjecture for local theta correspondences. Invent. math. 184, 117–124 (2011). https://doi.org/10.1007/s00222-010-0287-2

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  • DOI: https://doi.org/10.1007/s00222-010-0287-2

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