Simplicity of a Vertex Operator Algebra Whose Griess Algebra is the Jordan Algebra of Symmetric Matrices

DOI10.1080/00927870902828637zbMath1213.17029arXiv0901.0841OpenAlexW2065777449MaRDI QIDQ3562301

Hidekazu Niibori, Daisuke Sagaki

Publication date: 21 May 2010

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

Full work available at URL: https://arxiv.org/abs/0901.0841

zbMATH Keywords

vertex operatorGriess algebraJordan algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Jordan structures associated with other structures (17C50)

Related Items (3)

On correlation functions of vertex operator algebras associated to Jordan algebras ⋮ Simplicities of VOAs associated to Jordan algebras of type \(B\) and character formulas for simple quotients ⋮ On vertex operator algebras associated to Jordan algebras of Hermitian type

Cites Work

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• Deformation of central charges, vertex operator algebras whose Griess algebras are Jordan algebras
• The friendly giant
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Introduction to vertex operator algebras and their representations
• Griess algebras and conformal vectors in vertex operator algebras
• A structure theory for Jordan algebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• On voa associated with special jordan algebras
• Construction of vertex operator algebras from commutative associative algebras

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