English

The ring of $D_4$ triality invariants

Number Theory 2025-04-02 v1 High Energy Physics - Theory Algebraic Geometry

Abstract

D4D_4 triality invariants are modular forms as well as polynomial invariants for a fiber product of the modular group and the Weyl group of type F4F_4. We show that the ring of D4D_4 triality invariants satisfying a certain cusp condition is isomorphic to the ring of joint covariants of a binary cubic and a binary quadratic form.

Keywords

Cite

@article{arxiv.2504.00546,
  title  = {The ring of $D_4$ triality invariants},
  author = {Kazuhiro Sakai},
  journal= {arXiv preprint arXiv:2504.00546},
  year   = {2025}
}

Comments

28 pages

R2 v1 2026-06-28T22:42:00.468Z