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Big Theta Equals Small Theta Generically

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Abstract

In this paper we consider the theta correspondence over a non-Archimedean local field. Using the homological method and the theory of derivatives, we show that under a mild condition the big theta lift is irreducible.

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Acknowledgements

We thank Prof. Wee Teck Gan for helpful discussion. We also thank the referee for his time and comments.

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Authors and Affiliations

  1. Institute for Advanced Study in Mathmatics, Zhejiang University, Hangzhou, 310058, P. R. China

    Rui Chen

  2. Department of Mathematics, University of Michigan, 530 Church St, Ann Arbor, MI, 48109, USA

    Jia Liang Zou

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  1. Rui Chen
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  2. Jia Liang Zou
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Correspondence to Rui Chen.

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Chen, R., Zou, J.L. Big Theta Equals Small Theta Generically. Acta. Math. Sin.-English Ser. 40, 717–730 (2024). https://doi.org/10.1007/s10114-024-3236-5

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  • DOI: https://doi.org/10.1007/s10114-024-3236-5

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