The tetrahedron algebra and its finite-dimensional irreducible modules Original Research Article

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