Vertex operators and sporadic groups

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dc.creatorDuncan, John F.
dc.date2008-11-09
dc.date.accessioned2026-07-07T10:17:07Z
dc.date.available2026-07-07T10:17:07Z
dc.descriptionIn the 1980's, the work of Frenkel, Lepowsky and Meurman, along with that of Borcherds, culminated in the notion of vertex operator algebra, and an example whose full symmetry group is the largest sporadic simple group: the Monster. Thus it was shown that the vertex operators of mathematical physics play a role in finite group theory. In this article we describe an extension of this phenomenon by introducing the notion of enhanced vertex operator algebra, and constructing examples that realize other sporadic simple groups, including one that is not involved in the Monster.
dc.description14 pages; contribution to proceedings of the conference "Moonshine - The First Quarter Century and Beyond"
dc.identifierhttps://arxiv.org/abs/0811.1306
dc.identifierhttp://arxiv.org/abs/0811.1306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173742
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.titleVertex operators and sporadic groups
dc.typetext

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