Classification of the vertex operator algebras \(V_L^+\) of class \(\mathcal{S}^4\)

DOI10.1016/j.jalgebra.2016.01.035zbMath1335.17015OpenAlexW2302360078MaRDI QIDQ286545

Tomonori Hashikawa, Hiroki Shimakura

Publication date: 20 May 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.01.035

zbMATH Keywords

vertex operator algebrasbinary codeslattices

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

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• On quantum Galois theory
• Even lattices and doubly even codes
• The automorphism groups of the vertex operator algebras \(V^+_L\): general case
• Framed vertex operator algebras, codes and the moonshine module
• Rank one lattice type vertex operator algebras and their automorphism groups
• Introduction to vertex operator algebras and their representations
• Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
• Monstrous moonshine and monstrous Lie superalgebras
• A new construction of the moonshine vertex operator algebra over the real number field
• The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots
• Designs, groups and lattices
• Conformal designs based on vertex operator algebras
• Monstrous Moonshine
• Exceptional Vertex Operator Algebras and the Virasoro Algebra
• On the classification and enumeration of self-dual codes
• The invariants of the Clifford groups
• Norton's trace formulae for the Griess algebra of a vertex operator algebra with larger symmetry

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