Ternary codes and vertex operator algebras
type: Item
instance of: scholarly article
title: Ternary codes and vertex operator algebras
zbMATH Open document ID: 0977.17026
author: Masaaki Kitazume
author: Masahiko Miyamoto
author: Hiromichi Yamada
published in: Journal of Algebra
publication date: 2000-06-22T00:00:00Z
review text: The authors construct vertex operator algebras associated with self-orthogonal ternary codes based on a result of C. Dong, H. Li, G. Mason and S. P. Norton on the decomposition of the Virasoro element of the vertex operator algebra associated with \(\sqrt{2}(A_2\)-lattice) into a direct sum of three mutually orthogonal conformal vectors, whose vertex operators generate the Virasoro algebra with different central charges. Moreover, they determine the irreducible modules of these vertex operator algebras through the irreducible modules of the vertex operator algebra associated with \(\sqrt{2}(A_2\)-lattice).
reviewed by: Xiaoping Xu
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 94B60
zbMATH DE Number: 1423876
zbMATH Keywords: vertex operator algebras
zbMATH Keywords: self-orthogonal ternary codes
zbMATH Keywords: conformal vectors
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: irreducible modules
MaRDI profile type: Publication
OpenAlex ID: W1964057490
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DOI: 10.1006/JABR.1999.8058
description: scientific article; zbMATH DE number 1423876