quasibialgebra

plural quasibialgebras

1. mathematicsA generalization of a bialgebra that allows for a weaker form of coassociativity.

   We prove the existence of a quasi-Coxeter, quasitriangular quasibialgebra structure on the enveloping algebra of g, which binds the quasi-Coxeter structure underlying the Casimir connection of g and the quasitriangular quasibialgebra one underlying its KZ equations.

   2016, Valerio Toledano-Laredo, “Quasi-Coxeter quasitriangular quasibialgebras and the Casimir connection”, in arXiv