$H_D$-Quantum Vertex Algebras

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We 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 VII

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