Constructing vector-valued automorphic forms on unitary groups

Browning, Thomas

doi:10.4171/dm/1065

Constructing vector-valued automorphic forms on unitary groups

2026-01-01

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DOI：10.4171/dm/1065

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We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cl & eacute;ry and van der Geer in the setting of Siegel modular forms, but it also requires overcoming challenges that do not arise in the Siegel setting.

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DIFFERENTIAL-OPERATORS

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Constructing vector-valued automorphic forms on unitary groups

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