Classification of Ising vectors in the vertex operator algebra V_L⁺

2012/02/28 by Hiroki Shimakura, Shimakura, Hiroki
Mathematics · Physics and Astronomy · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B69

paper · pdf · doi:10.48550/arxiv.1202.6107

9 pages

arxiv created 2012/02/28 · openalex publication_date 2012/02/28 · arxiv updated 2012/02/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let L be an even lattice without roots. In this article, we classify all Ising vectors in the vertex operator algebra V_L⁺ associated with L.

Related

• Vertex operator algebras generated by Ising vectors of σ-type
• Ising vectors in the vertex operator algebra V_Λ⁺ associated with the Leech lattice Λ
• Vertex operator algebras generated by two Ising vectors
• The automorphism groups of the vertex operator algebras V_L⁺: general case
• Ising vectors and automorphism groups of commutant subalgebras related to root systems