This paper deals with the variety of commutative algebras satisfying the identity beta{(yx(2))x - ((yx)x)x} + gamma{yx(3) - ((yx)x)x} = 0, where beta, gamma are scalars. These algebras appeared as one of the four families of degree four identities in Carini, Hentzel, and Piacentini-Cattaneo 6. We give a characterization of representations and irreducible modules on these algebras. Our results require that the characteristic of the ground field is different from 2, 3.
展开▼
