6A-Algebra and its representations

2019/02/19 by Chongying Dong, Dong, Chongying, Xiangyu Jiao +3 · 1 citation
Mathematics · #17B69 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B69

paper · pdf · doi:10.48550/arxiv.1902.06951

29 pages

openalex publication_date 2019/02/19 · arxiv created 2019/02/28 · arxiv updated 2019/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the structure and representation of a 6A-algebra which is a vertex operator algebra generated by two Ising vectors e,f with inner product ⟨ e,f⟩ =\frac52¹⁰. In particular, we prove the uniqueness of the vertex operator algebra structure of this 6A-algebra, classify the irreducible modules, and determine the fusion rules.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras

Cited by

• Uniqueness of VOA structure of 3C-algebra and 5A-algebra

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• 6-transposition property of τ-involutions of vertex operator algebras
• Weyl groups and vertex operator algebras generated by Ising vectors satisfying (2B,3C) condition
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• Classification of Ising vectors in the vertex operator algebra V_L⁺