Constructing vector-valued automorphic forms on unitary groups

Documenta Mathematica 2026 Open access

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Authors: Thomas Browning, Pavel Čoupek, Ellen Eischen, Claire Frechette, Serin Hong, Si Ying Lee, David Marcil
DOI: 10.4171/dm/1065
Cited by: 0

Abstract

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 Cléry 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.

Fields of Study & Subjects

Advanced Algebra and Geometry Advanced Topics in Algebra Finite Group Theory Research

Publication details

Journal / source
Documenta Mathematica
Volume
31
Issue
6
Pages
1445–1481
Publication date
14 April 2026
Language
EN