3 papers
math.QA2022
Twisted regular representations of vertex operator algebras
Haisheng Li, Jiancai Sun
This paper is to study what we call twisted regular representations for vertex operator algebras. Let be a vertex operator algebra, let be commuting finite-order auto…
math.QA2011
Twisted tensor products of nonlocal vertex algebras
Haisheng Li, Jiancai Sun
In this paper we introduce and study a twisted tensor product construction of nonlocal vertex algebras. Among the main results, we establish a universal property and give a charact…
math.QA2009
Vertex algebras associated with elliptic affine Lie algebras
Haisheng Li, Jiancai Sun
We associate elliptic affine Lie algebras with what are called vertex $\C((z))$-algebras and their modules in a certain category. In the course, we construct two families of Lie al…