Decomposition of the vertex operator algebra \(V_{\sqrt{2A_3}}\)

DOI10.1006/jabr.1999.8019zbMath0977.17025OpenAlexW1991821757MaRDI QIDQ1969367

Chongying Dong, Ching Hung Lam, Hiromichi Yamada

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8019

zbMATH Keywords

decompositionvertex operator algebraVirasoro algebrairreducible moduleslattice vertex operator algebraconformal vectorsVirasoro element

Mathematics Subject Classification ID

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

Related Items (7)

Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ HIGHEST WEIGHT VECTORS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPE ⋮ The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Decomposition of the lattice vertex operator algebra \(V_{\sqrt{2}A_l}\). ⋮ A class of vertex operator algebras constructed from \(\mathbb{Z}_8\) codes ⋮ \(W\)-algebras related to parafermion algebras ⋮ 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

Cites Work

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• The friendly giant
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Rank one lattice type vertex operator algebras and their automorphism groups
• Vertex algebras associated with even lattices
• Griess algebras and conformal vectors in vertex operator algebras
• Ternary codes and vertex operator algebras
• HIGHEST WEIGHT VECTORS WITH SMALL WEIGHTS IN THE VERTEX OPERATOR ALGEBRA ASSOCIATED WITH A LATTICE OF TYPEA_l
• On axiomatic approaches to vertex operator algebras and modules

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