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

Naihuan Jing; Fei Kong; Haisheng Li; Shaobin Tan

doi:10.1016/j.jalgebra.2020.11.013

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

Naihuan Jing, Fei Kong, Haisheng Li, Shaobin Tan

FASC - Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study (G,χ_ϕ)-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,χ_ϕ)-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 language	English (US)
Pages (from-to)	24-74
Number of pages	51
Journal	Journal of Algebra
Volume	570
DOIs	https://doi.org/10.1016/j.jalgebra.2020.11.013
State	Published - Mar 15 2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

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

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

abstract = "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.",

keywords = "Generalized commutator formula, Lattice vertex operator algebra, Nonlocal vertex algebra, Vertex algebra, ϕ-coordinated quasi module",

author = "Naihuan Jing and Fei Kong and Haisheng Li and Shaobin Tan",

note = "Funding Information: Partially supported by NSF of China (No.11531004) and Simons Foundation (No.198129).Partially supported by NSF of China (No.11701183).Partially supported by NSF of China (No.11531004). Publisher Copyright: {\textcopyright} 2020 Elsevier Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

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AU - Jing, Naihuan

AU - Kong, Fei

AU - Li, Haisheng

AU - Tan, Shaobin

N1 - Funding Information: Partially supported by NSF of China (No.11531004) and Simons Foundation (No.198129).Partially supported by NSF of China (No.11701183).Partially supported by NSF of China (No.11531004). Publisher Copyright: © 2020 Elsevier Inc. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/3/15

Y1 - 2021/3/15

N2 - 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.

AB - 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.

KW - Generalized commutator formula

KW - Lattice vertex operator algebra

KW - Nonlocal vertex algebra

KW - Vertex algebra

KW - ϕ-coordinated quasi module

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