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Vertex representations forN-toroidal Lie algebras and a generalization of the Virasoro algebra

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Abstract

Vertex representations are obtained for toroidal Lie algebras for any number of variables. These representations afford representations of certainn-variable generalizations of the Virasoro algebra that are abelian extensions of the Lie algebra of vector fields on a torus.

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Communicated by A. Jaffe

Work supported in part by the Natural Sciences and Engineering Research Council of Canada.

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Eswara Rao, S., Moody, R.V. Vertex representations forN-toroidal Lie algebras and a generalization of the Virasoro algebra. Commun.Math. Phys. 159, 239–264 (1994). https://doi.org/10.1007/BF02102638

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  • DOI: https://doi.org/10.1007/BF02102638

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