Cycle matrices: A combinatorial approach to the set-theoretic solutions of the Quantum Yang-Baxter Equation

Arpan Kanrar, Saikat Panja

An $n\times n$ matrix $M=[m_{ij}]$ with $m_{ij}\in U_n=\{1,2,\dots ,n\}$ will be called a cycle matrix if $(U_n,\cdot )$ is a cycle set, where $i\cdot j=m_{ij}$. We study these matr…