quasibialgebras

Noun

quasibialgebra (plural quasibialgebras)

1. A 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