Hopf action on vertex algebras

2021/07/10 by Lipeng Luo, Zhixiang Wu, Luo, Lipeng +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2107.04753

openalex publication_date 2021/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In present paper, some properties of Hopf action on vertex algebras will be given. We prove that V#H is an S-local vertex algebra but it is not a vertex algebra when V is an H-module vertex algebra. In addition, we extend the S-locality to the quantum vertex algebras.

Related

• Hopf actions on vertex algebras
• A new construction of vertex algebras and quasi modules for vertex algebras
• Hopf actions on vertex operator algebras
• Nonlocal vertex algebras generated by formal vertex operators
• H_D-Quantum Vertex Algebras and Bicharacters