SOLVABLE RSOS MODELS BASED ON THE DILUTE BWM ALGEBRA

In this paper we present representations of the recently introduced di lute Birman-Wenzl-Murakami algebra. These representations, labelled by the level-l B-n((1)), C-n((1)) and D-n((1)) affine Lie algebras, are baxterized to yield solutions to the Yang-Baxter equation, The thus ob tained critical solvable models are RSOS counterparts of the, respecti vely, D-n+1((2)), A(2n)((2)) and B-n((1)) R-matrices of Bazhanov and J imbo, For the D-n+1((2)) and B-n((1)) algebras the RSOS models are new . An elliptic extension which solves the Yang-Baxter equation is given for all three series of dilute RSOS models.