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On vertex algebras and their modules associated with even lattices
classification
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modulesalgebrasassociatedevenlatticesresultsvertexapproach
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We study vertex algebras and their modules associated with possibly degenerate even lattices, using an approach somewhat different from others. Several known results are recovered and a number of new results are obtained. We also study modules for Heisenberg algebras and we classify irreducible modules satisfying certain conditions and obtain a complete reducibility theorem.
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