A 'dilute' generalization of the Birman-Wenzl-Murakami algebra is cons
idered. It can be 'Baxterized' to a solution of the Yang-Baxter algebr
a. The D(n+1)(2) vertex models constitute a series of solvable lattice
models which realize this algebraic structure. They can be regarded a
s a dilute version of the B(n)(1) vertex models.