Associating quantum vertex algebras to Lie algebra gl_(infty)
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algebraalgebrasinftyquantumvertexanotherassociatingassociation
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In this paper, we present a canonical association of quantum vertex algebras and their $\phi$-coordinated modules to Lie algebra $\gl_{\infty}$ and its 1-dimensional central extension. To this end we construct and make use of another closely related infinite-dimensional Lie algebra.
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