Solutions to the Yang–Baxter equations with ospq(1|2)ospq(1|2) symmetry: Lax operators

We find a new 4×44×4 solution to the ospq(1|2)ospq(1|2)-invariant Yang–Baxter equation with simple dependence on the spectral parameter and propose 2×22×2 matrix expressions for the corresponding Lax operator. The general inhomogeneous universal spectral-parameter dependent R  -matrix is derived. It is proven, that there are two independent solutions to the homogeneous ospq(1|2)ospq(1|2)-invariant YBE, defined on the fundamental three-dimensional representations. One of them is the particular case of the universal matrix, while the second one does not admit generalization to the higher-dimensional cases. Also the 3×33×3 matrix expression of the Lax operator is found, which have a well-defined limit at q→1q→1.