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Decompositions of the Moonshine Module with Respect to subVOAs Associated to Codes over Z2k

✍ Scribed by Hiroki Shimakura

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 145 KB
Volume: 251
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9136

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✦ Synopsis

In this paper, we give decompositions of the moonshine module V with respect to subVOAs associated to extremal Type II codes over Z 2k for an integer k ≥ 2. 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 .  2002 Elsevier Science (USA)