Abstract
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a
universal R-matrix in the tensor product algebra which satisfies the
Yang–Baxter equation. Applying the vector representation
π, which acts on the
vector module V, to
one side of a universal R-matrix gives a Lax operator. In this paper a Lax operator is constructed for the
C-type quantum
superalgebras Uq[osp(2|n)]. This is achieved without reference to the specific details of the universal
R-matrix, but instead appealing to the co-product structure of
Uq[osp(2|n)]. The result can in turn be used to find a solution to the Yang–Baxter equation acting on 
, where W is
an arbitrary Uq[osp(2|n)]
module. The case W = V
is included here as an example.