By results of G.Bo1 and R.Rankin, we know all linear and bilinear holomorphic equivariant differential operators on the complex upper half plane. Here “equivariant” means some compatibility with the action of PSL(2). We discuss problems and difficulties which arise, when one wants to generalize such results to Siegel half spaces of arbitrary degree, in particular for the vector-valued case.

本セミナーは、東京理科大学研究推進機構総合研究院「先端的代数学融合研究部門」との共催です。

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