A smash product construction of nonlocal vertex algebras

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dc.creatorLi, Haisheng
dc.date2005-11-14
dc.date.accessioned2026-07-07T06:51:13Z
dc.date.available2026-07-07T06:51:13Z
dc.descriptionA notion of vertex bialgebra and a notion of module nonlocal vertex algebra for a vertex bialgebra are studied and then a smash product construction of nonlocal vertex algebras is presented. For every nonlocal vertex algebra $V$ satisfying a suitable condition, a canonical bialgebra $B(V)$ is constructed such that primitive elements of $B(V)$ are essentially pseudo derivations and group-like elements are essentially pseudo endomorphisms. Furthermore, vertex algebras associated with Heisenberg Lie algebras as well as those associated with nondegenerate even lattices are reconstructed through smash products.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0511344
dc.identifierhttp://arxiv.org/abs/math/0511344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104913
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject17B69
dc.titleA smash product construction of nonlocal vertex algebras
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