Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.00546 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909560418074624 |
|---|---|
| author | Sakai, Kazuhiro |
| author_facet | Sakai, Kazuhiro |
| contents | $D_4$ triality invariants are modular forms as well as polynomial invariants for a fiber product of the modular group and the Weyl group of type $F_4$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The ring of $D_4$ triality invariants Sakai, Kazuhiro Number Theory High Energy Physics - Theory Algebraic Geometry 11F11, 17B22, 13A50 $D_4$ triality invariants are modular forms as well as polynomial invariants for a fiber product of the modular group and the Weyl group of type $F_4$. 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. |
| title | The ring of $D_4$ triality invariants |
| topic | Number Theory High Energy Physics - Theory Algebraic Geometry 11F11, 17B22, 13A50 |
| url | https://arxiv.org/abs/2504.00546 |