$2^n-$rational maps

Abstract

We present a natural extension of the notion of nondegenerate rational maps (quadrirational maps) to arbitrary dimensions. We refer to these maps as $2^n-$rational maps. In this note we construct a rich family of $2^n-$rational maps. These maps by construction are involutions and highly symmetric in the sense that the maps and their companion maps have the same functional form.

References in corpus (3)

• Simplex and Polygon Equations
• Yang-Baxter Maps, Discrete Integrable Equations and Quantum Groups
• On a class of third order mappings with two rational invariants