Introduction to vertex operator algebras II

1995/04/24 by Haisheng Li, Li, Haisheng
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9504018

openalex publication_date 1995/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the second part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Monster and vertex operator algebras at the Research Institute of Mathematical Sciences, Kyoto, September 4-9, 1994. In this part, we discuss the commutativity, the associativity, the Jacobi identity and the relations among them. We also discuss an analogue of endomorphism ring of a vector space in vertex operator algebra theory.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras
• Local systems of vertex operators, vertex superalgebras and modules
• Classical and quantum conformal field theory

Related

• Introduction to vertex operator algebras III
• Introduction to vertex operator algebras I
• Some developments in vertex operator algebra theory, old and new
• On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
• Irregular vertex algebras