arXiv Open Access 2024

On quadrirational pentagon maps

Charalampos Evripidou Pavlos Kassotakis Anastasios Tongas

Lihat Sumber

Abstrak

We classify rational solutions of a specific type of the set theoretical version of the pentagon equation. That is, we find all quadrirational maps $R:(x,y)\mapsto (u(x,y),v(x,y)),$ where $u, v$ are two rational functions on two arguments, that serve as solutions of the pentagon equation. Furthermore, provided a pentagon map that admits a partial inverse, we obtain genuine entwining pentagon set theoretical solutions. Finally, we show how to obtain Yang-Baxter maps from entwining pentagon maps.

Topik & Kata Kunci

nlin.SI

Penulis (3)

Charalampos Evripidou

Pavlos Kassotakis

Anastasios Tongas

Format Sitasi

APA MLA BibTeX

Evripidou, C., Kassotakis, P., Tongas, A. (2024). On quadrirational pentagon maps. https://arxiv.org/abs/2405.04945

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓