Re-factorising a QRT map
Exactly Solvable and Integrable Systems
2019-06-04 v1
Abstract
A QRT map is the composition of two involutions on a biquadratic curve: one switching the -coordinates of two intersection points with a given horizontal line, and the other switching the -coordinates of two intersections with a vertical line. Given a QRT map, a natural question is to ask whether it allows a decomposition into further involutions. Here we provide new answers to this question and show how they lead to a new class of maps, as well as known HKY maps and quadrirational Yang-Baxter maps.
Keywords
Cite
@article{arxiv.1906.00501,
title = {Re-factorising a QRT map},
author = {Nalini Joshi and Pavlos Kassotakis},
journal= {arXiv preprint arXiv:1906.00501},
year = {2019}
}
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17 pages