On some free algebras of orthogonal modular forms II

Haowu Wang

On some free algebras of orthogonal modular forms II

Number Theory 2021-06-29 v3

Authors: Haowu Wang

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 $A_1(2)$ , $A_1(3)$ , $A_1(4)$ , $2A_1(2)$ , $A_2(2)$ , $A_2(3)$ , $A_3(2)$ , $D_4(2)$ . As a corollary, we prove the modularity of formal Fourier--Jacobi expansions for these reflection groups.

Keywords

orthogonal modular forms free algebras symmetric domains of type IV reflection groups Fourier-Jacobi expansions lattices

Cite

@article{arxiv.2006.02680,
  title  = {On some free algebras of orthogonal modular forms II},
  author = {Haowu Wang},
  journal= {arXiv preprint arXiv:2006.02680},
  year   = {2021}
}

Comments

Revised version, to appear in Research in Number Theory

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