(G,χϕ)-equivariant ϕ-coordinated quasi modules for nonlocal vertex algebras

Naihuan Jing, Fei Kong, Haisheng Li, Shaobin Tan

Research output: Contribution to journalArticlepeer-review


In this paper, we study (G,χϕ)-equivariant ϕ-coordinated quasi modules for nonlocal vertex algebras. Among the main results, we establish several conceptual results, including a generalized commutator formula and a general construction of weak quantum vertex algebras and their (G,χϕ)-equivariant ϕ-coordinated quasi modules. As an application, we also construct (equivariant) ϕ-coordinated quasi modules for lattice vertex algebras by using Lepowsky's work on twisted vertex operators.

Original languageEnglish (US)
Pages (from-to)24-74
Number of pages51
JournalJournal of Algebra
StatePublished - Mar 15 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • Generalized commutator formula
  • Lattice vertex operator algebra
  • Nonlocal vertex algebra
  • Vertex algebra
  • ϕ-coordinated quasi module

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