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arXiv · 2410.12907

The ring of Weyl invariant $E_8$ Jacobi forms

Kazuhiro Sakai
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Abstract

We prove that the ring of Weyl invariant $E_8$ weak Jacobi forms is isomorphic to that of joint covariants of a binary sextic and a binary quartic form. The ring is therefore finitely generated. A minimal basis of generators is obtained from that already known for the ring of covariants.

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Kazuhiro Sakai. 2024-10-16. The ring of Weyl invariant $E_8$ Jacobi forms. https://doi.org/10.1007/s00209-026-04085-6

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