Vertex Operator Algebras Associated with $$\mathbf{Z}/k\mathbf{Z}$$ Z / k Z -Codes

DOI10.1007/978-981-10-2636-2_38zbMath1394.17059OpenAlexW2560161597MaRDI QIDQ5278161

Hiromichi Yamada, Hiroshi Yamauchi, Tomoyuki Arakawa

Publication date: 13 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-2636-2_38

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (2)

\(\mathbb{Z}_{2k}\)-code vertex operator algebras ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras

Cites Work

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• The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\)
• Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
• \(W\)-algebras related to parafermion algebras
• Generalized vertex algebras and relative vertex operators
• Introduction to vertex operator algebras and their representations
• Binary codes and vertex operator (super)algebras
• Ternary codes and vertex operator algebras
• The structure of parafermion vertex operator algebras

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