Solutions to the constant Yang-Baxter equation in all dimensions

Understand

We will present solutions to the constant Yang-Baxter equation, in any dimension $n$.

• More precisely, for any $n$, we will create an infinite family of $n^2$ by $n^2$ matrices which are solutions to the constant Yang-Baxter equation.
• The total number of non-vanishing entries of such a matrix is $4n^2$ for $n$ even, and $4(n-1)(n)+1$ for $n$ odd.
• We will also present the unitary conditions for those matrices.