Heronian friezes and Plücker relations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917154321858560 |
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| author | Sneperger, Anja |
| author_facet | Sneperger, Anja |
| contents | In this article, we use Plücker relations in the Grassmannian $Gr(3,n)$ to give relations that hold amongst some of the entries of the Heronian frieze of order $n$. Furthermore, we make a connection between certain subfriezes of a Heronian frieze and Plücker friezes $P(3,n)$, and then show that some determinants of the matrices whose elements lie in those subfriezes are vanishing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16627 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heronian friezes and Plücker relations Sneperger, Anja Combinatorics Representation Theory In this article, we use Plücker relations in the Grassmannian $Gr(3,n)$ to give relations that hold amongst some of the entries of the Heronian frieze of order $n$. Furthermore, we make a connection between certain subfriezes of a Heronian frieze and Plücker friezes $P(3,n)$, and then show that some determinants of the matrices whose elements lie in those subfriezes are vanishing. |
| title | Heronian friezes and Plücker relations |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2512.16627 |