Subprime solutions of the classical Yang-Baxter equation

We introduce a new family of classical r-matrices for the Lie algebra sln that lies in the Zariski boundary of the Belavin-Drinfeld space M of quasi-triangular solutions to the classical Yang-Baxter equation. In this setting M is a finite disjoint union of components; exactly ϕ(n) of these components are SLn-orbits of single points. These points are the generalized Cremmer-Gervais r-matrices ri,n which are naturally indexed by pairs of positive coprime integers, i and n, with i