By means of left quasigroups L = (L, ·) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (·) satisfying an invariance condition that the binary operation (·) of the left quasigroup L defines. Conversely, this construction characterize such dynamical Yang-Baxter maps. The unitary condition of the dynamical Yang-Baxter map is discussed. Moreover, we establish a correspondence between two dynamical Yang-Baxter maps constructed in this paper. This correspondence produces a version of the vertex-IRF correspondence
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.