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<p>We prove that the ring of Weyl invariant <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(E_8\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mn>8</mn> </msub> </math></EquationSource> </InlineEquation> 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.</p>

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The ring of Weyl invariant \(E_8\) Jacobi forms

  • 期刊论文

  • 发表日期：

    2026年7月10日

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  • Kazuhiro Sakai

摘要

We prove that the ring of Weyl invariant \(E_8\) 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.