On universal solution to the reflection equation

by Kulish, Petr

Abstract

For a given quasitriangular Hopf algebra $\cal H$ relations between braided bialgebra structure and Drinfeld twist are described. It is shown that this structure is naturally described by means of twisted tensor powers of $\cal H$ and their module algebras. A universal solution to the reflection equation is given with its characteristic property and fusion procedure, similar to the universal $R$-matrix.