Using diagrammatic pictures of tensor contractions, we consider a Hopf algebra twisted by an element ℛ λ ∈ A * ⊗ A op corresponding to a Hopf algebra morphism λ : A → A . We show that this Hopf algebra is quasitriangular with the universal R ‐matrix coming from ℛ λ when λ 2 = id A , generalizing the quantum double construction which corresponds to the case λ = id A .
No takes yet. Share an insight, caveat, or question.
Fukuda et al. (2004) studied this question.