$H_D$-Quantum Vertex Algebras

Mathematics – Quantum Algebra

Scientific paper

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5 pages, for the proceedings of the Varna 2007 conference Lie theory and Applications VII

Scientific paper

We discuss a class of quantum vertex algebras where not only the
commutativity of the vertex algebra is broken by a braiding map $S^{(\tau)}$,
but also the translation covariance is broken by a translation map
$S^{(\gamma)}$. The new class of quantum vertex operators satisfy a Braided
Jacobi Identity containing both the braiding and the translation maps.

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