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<p>We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP (cuspidal associated to parabolics) representations of metaplectic, symplectic and orthogonal groups. These constructions partially generalize the theories of Waldspurger on the Shimura correspondence and of Piatetski-Shapiro on the Saito-Kurokawa lifting to higher dimensions.</p>

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The CAP representations indexed by Hilbert cusp forms

  • 期刊论文

  • 发表日期：

    2025年6月27日

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  • Shunsuke Yamana

摘要

We combine the Duke-Imamoglu-Ikeda lifting with the theta lifting to produce new CAP (cuspidal associated to parabolics) representations of metaplectic, symplectic and orthogonal groups. These constructions partially generalize the theories of Waldspurger on the Shimura correspondence and of Piatetski-Shapiro on the Saito-Kurokawa lifting to higher dimensions.