Multicomponent pentagon maps
Exactly Solvable and Integrable Systems
2026-05-28 v2
Abstract
We provide necessary and sufficient conditions for maps that satisfy associative-like conditions on families of n-ary magmas to be pentagon maps. We obtain parametric-pentagon maps and we propose a procedure that generates families of multicomponent pentagon and entwining pentagon maps from a given pentagon map.
Keywords
Cite
@article{arxiv.2604.07231,
title = {Multicomponent pentagon maps},
author = {Pavlos Kassotakis},
journal= {arXiv preprint arXiv:2604.07231},
year = {2026}
}
Comments
23 pages, 4 figures. v2: typos corrected