The tetrahedron algebra and its finite-dimensional irreducible modules

Recently Terwilliger and the present author found a presentation for the three-point sl2 loop algebra via generators and relations. To obtain this presentation we defined a Lie algebra ⊠ by generators and relations and displayed an isomorphism from ⊠ to the three-point sl2 loop algebra. In this paper we classify the finite-dimensional irreducible ⊠-modules.