Decompositions of the Moonshine Module with respect to subVOAs associated to codes over $\Z_{2k}$

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dc.creatorShimakura, Hiroki
dc.date2001-04-16
dc.date2002-04-09
dc.date.accessioned2026-07-07T04:41:20Z
dc.date.available2026-07-07T04:41:20Z
dc.descriptionIn this paper, we give decompositions of the moonshine module $V^{\natural}$ with respect to subVOAs associated to extremal Type II codes over $Z_{2k}$ for an integer $k\ge2$. Those subVOAs are isomorphic to the tensor product of 24 copies of the charge conjugation orbifold VOA. Using such decompositions, we obtain some elements of type 4A (k odd) and 2B (k even) of the Monster simple group Aut$(V^{\natural})$.
dc.description16 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math/0104160
dc.identifierhttp://arxiv.org/abs/math/0104160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61314
dc.subjectQuantum Algebra
dc.titleDecompositions of the Moonshine Module with respect to subVOAs associated to codes over $\Z_{2k}$
dc.typetext

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