Decomposition of the Moonshine vertex operator algebra as Virasoro modules
type: Item
instance of: scholarly article
title: Decomposition of the Moonshine vertex operator algebra as Virasoro modules
zbMATH Open document ID: 0986.17010
author: Masaaki Kitazume
author: Ching Hung Lam
author: Hiromichi Yamada
published in: Journal of Algebra
publication date: 2002-06-17T00:00:00Z
review text: Based on a coset decomposition of the Leech lattice associated with \((\sqrt{2}A_2)^{12}\) and a certain code vertex operator algebra, the authors obtain a decomposition of the Moonshine vertex operator algebra as modules of the subalgebra \(L(1/2,0)\otimes L(7/10,0)\otimes L(4/5,0)^{\otimes 12}\) consisting of the Virasoro vertex operator algebras with central charges \(1/2\), \(7/10\) and \(4/5\), respectively.
reviewed by: Xiaoping Xu
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 1448618
zbMATH Keywords: coset decomposition
zbMATH Keywords: Leech lattice
zbMATH Keywords: code vertex operator algebra
zbMATH Keywords: Moonshine vertex operator algebra
zbMATH Keywords: Virasoro vertex operator algebras
MaRDI profile type: Publication
OpenAlex ID: W1989942068
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DOI: 10.1006/JABR.1999.8206
description: scientific article; zbMATH DE number 1448618