YANG–BAXTER SYSTEMS AND ENTWINING STRUCTURES
YANG–BAXTER SYSTEMS AND ENTWINING STRUCTURES
ABSTRACT It is shown that a Yang–Baxter system can be constructed from any entwining structure. It is also shown that,conversely,Yang–Baxter systems of certain types lead to entwining structures. Examples of Yang–Baxter systems associated to entwining structures are given,and a Yang–Baxter operator of Hecke type is defined for any bijective entwining …