$EE_8$-lattices and dihedral groups

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dc.creatorGriess Jr., Robert L.
dc.creatorLam, Ching Hung
dc.date2008-06-17
dc.date.accessioned2026-07-07T09:45:02Z
dc.date.available2026-07-07T09:45:02Z
dc.descriptionWe classify integral rootless lattices which are sums of pairs of $EE_8$-lattices (lattices isometric to $\sqrt 2$ times the $E_8$-lattice) and which define dihedral groups of orders less than or equal to 12. Most of these may be seen in the Leech lattice. Our classification may help understand Miyamoto involutions on lattice type vertex operator algebras and give a context for the dihedral groups which occur in the Glauberman-Norton moonshine theory.
dc.description87 pages, many figures
dc.identifierhttps://arxiv.org/abs/0806.2753
dc.identifierhttp://arxiv.org/abs/0806.2753
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163076
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C10
dc.title$EE_8$-lattices and dihedral groups
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