\(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras

DOI10.1006/jabr.1999.8048zbMath1013.17025OpenAlexW2067615176MaRDI QIDQ1975151

Ching Hung Lam, Hiromichi Yamada

Publication date: 24 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8048

zbMATH Keywords

vertex operator algebraVirasoro algebraFock spaceirreducible module

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Combinatorial codes (94B25)

Related Items (12)

Ising vectors and automorphism groups of commutant subalgebras related to root systems ⋮ Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three ⋮ On 3-transposition groups generated by \(\sigma\)-involutions associated to \(c=4/5\) Virasoro vectors ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ Decomposition of the lattice vertex operator algebra \(V_{\sqrt{2}A_l}\). ⋮ Conformal field theories with sporadic group symmetry ⋮ Extensions of Tensor Products of Unitary Virasoro Vertex Operator Algebra ⋮ A class of vertex operator algebras constructed from \(\mathbb{Z}_8\) codes ⋮ Vertex operator algebras generated by Ising vectors of \(\sigma\)-type ⋮ On intertwining operators and finite automorphism groups of vertex operator algebras ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ Moonshine vertex operator algebra as \(L(\frac{1}{2},0)\otimes L(\frac{7}{10},0) \otimes L(\frac{4}{5},0) \otimes L(1,0)\)-modules

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• REPRESENTATIONS OF TERNARY CODE VERTEX OPERATOR ALGEBRAS
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