The ring of $D_{4}$ triality invariants

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Authors: Kazuhiro Sakai
Cited by: 0

Abstract

D_{4} triality invariants are modular forms as well as invariant polynomials for a fiber product of the modular group and the Weyl group of type F_{4} . We show that the ring of D_{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.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic structures and combinatorial models Algebraic Geometry and Number Theory

Publication details

Journal / source
Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions
Publication date
12 August 2026
Language
EN