On some free algebras of orthogonal modular forms II

2020/06/04 by Haowu Wang, Wang, Haowu
Mathematics · #11F50 #11F55 #32N15 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2006.02680

openalex publication_date 2020/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct 16 free algebras of modular forms on symmetric domains of type IV for some reflection groups related to the eight lattices A₁(2), A₁(3), A₁(4), 2A₁(2), A₂(2), A₂(3), A₃(2), D₄(2). As a corollary, we prove the modularity of formal Fourier--Jacobi expansions for these reflection groups.

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• Free algebras of modular forms on ball quotients
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