Decompositions of the moonshine module with respect to subVOAs associated to codes over Z2k

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2 Citations (Scopus)

Abstract

In this paper, we give decompositions of the moonshine module V with respect to subVOAs associated to extremal Type II codes over Z2k 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).

Original languageEnglish
Pages (from-to)308-322
Number of pages15
JournalJournal of Algebra
Volume251
Issue number1
DOIs
Publication statusPublished - 2002 May 1
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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