Vertex operator algebras generated by Ising vectors of σ-type

2018/03/04 by Cuipo Jiang, Jiang, Cuipo, Ching Hung Lam +3
Mathematics · Physics and Astronomy · #17B69 (Primary) 20B25 #20D08 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B69 #msc:20B25 #msc:20D08

paper · pdf · doi:10.48550/arxiv.1803.01385

21 pages

arxiv created 2018/03/04 · openalex publication_date 2018/03/04 · arxiv updated 2018/03/06 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

Abstract

We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of σ-type. We also prove that the simplicity can be omitted if the Griess algebra is isomorphic to the Matsuo algebra associated with the root system of type A_n.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras

Related

• Weyl groups and vertex operator algebras generated by Ising vectors satisfying (2B,3C) condition
• Vertex operator algebras generated by two Ising vectors
• A class of vertex operator algebras generated by Virasoro vectors
• Classification of Ising vectors in the vertex operator algebra V_L⁺
• Simplicity of a vertex operator algebra whose Griess algebra is the Jordan algebra of symmetric matrices