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arXiv · 2201.06766

On the classification of $(\mathfrak{g},K)$-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators

Shuji Horinaga
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Abstract

We classify the $(\mathfrak{g},K)$-modules generated by nearly holomorphic Hilbert-Siegel modular forms by the global method. As an application, we study the image of projection operators on the space of nearly holomorphic Hilbert-Siegel modular forms with respect to infinitesimal characters in terms of $(\mathfrak{g},K)$-modules.

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Shuji Horinaga. 2022-01-18. On the classification of $(\mathfrak{g},K)$-modules generated by nearly holomorphic Hilbert-Siegel modular forms and projection operators. https://arxiv.org/abs/2201.06766

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