2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163016We discuss a class of quantum vertex algebras where not only the commutativity of the vertex algebra is broken by a braiding map $S^{(τ)}$, but also the translation covariance is broken by a translation map $S^{(γ)}$. The new class of quantum vertex operators satisfy a Braided Jacobi Identity containing both the braiding and the translation maps.5 pages, for the proceedings of the Varna 2007 conference Lie theory and Applications VIIQuantum Algebra$H_D$-Quantum Vertex Algebrastext