Ternary Virasoro - Witt Algebra
  A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations. 
Thomas L Curtright, David B Fairlie, and Cosmas K Zachos