Classification of irreducible modules of the vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of an arbitrary rank

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dc.creatorYamskulna, Gaywalee
dc.date2008-07-04
dc.date.accessioned2026-07-07T09:48:40Z
dc.date.available2026-07-07T09:48:40Z
dc.descriptionIn this paper, we first classify all irreducible modules of the vertex algebra $V_L^+$ when $L$ is a negative definite even lattice of arbitrary rank. In particular, we show that any irreducible $V_L^+$-module is isomorphic to a submodule of an irreducible twisted $V_L$-module. We then extend this result to a vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of finite rank.
dc.descriptionTo appear in J. of Algebra
dc.identifierhttps://arxiv.org/abs/0807.0817
dc.identifierhttp://arxiv.org/abs/0807.0817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164300
dc.subjectQuantum Algebra
dc.titleClassification of irreducible modules of the vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of an arbitrary rank
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