Lifts of automorphisms of vertex operator algebras in simple current extensions

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dc.creatorShimakura, Hiroki
dc.date2006-10-23
dc.date.accessioned2026-07-07T07:29:19Z
dc.date.available2026-07-07T07:29:19Z
dc.descriptionIn this article, we study isomorphisms between simple current extensions of a simple VOA. For example, we classify the isomorphism classes of simple current extensions of some VOAs. Moreover, we consider the same simple current extension and describe the normalizer of the abelian automorphism group associated with this extension. In particular, we regard the moonshine module as simple current extensions of five subVOAs V_L^+ for 2-elementary totally even lattices L, and describe corresponding five normalizers of elementary abelian 2-group in the automorphism group of the moonshine module in terms of V_L^+. By using this description, we show that three of them form a Monster amalgam.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0610671
dc.identifierhttp://arxiv.org/abs/math/0610671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118062
dc.subjectQuantum Algebra
dc.subjectGroup Theory
dc.titleLifts of automorphisms of vertex operator algebras in simple current extensions
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