What would be a good (as "easy" as possible) example of a Triangular (Non trivial) quasiHopf algebra? By trivial I mean the quasi strcture not to be trivial, but if the triangular structure is trivial it's ok (it's actally better for me)
Something like Drinfeld's twist of a group algebra will do the job. 


You can see the following papers: S. Majid, "Quantum Double for QuasiHopf Algebras",Letters in math. phys., 45, Number 1 , pages 19 (1998). C. A. S. Young, R. Zegers. Triangular quasiHopf algebra structures on certain nonsemisimple quantum groups, Commun. Math. Phys. 298, 585611 (2010). 

