470 citations · 1.1k across the 90 of their papers we have counts for
6 papers · 1 filter
A smash product construction of nonlocal vertex algebras
Haisheng Li
A notion of vertex bialgebra and a notion of module nonlocal vertex algebra for a vertex bialgebra are studied and then a smash product construction of nonlocal vertex algebras is…
Constructing quantum vertex algebras
Haisheng Li
This is a sequel to \cite{li-qva}. In this paper, we focus on the construction of quantum vertex algebras over $\C$, whose notion was formulated in \cite{li-qva} with Etingof and K…
A recurrence relation for characters of highest weight integrable modules for affine Lie algebras
William J. Cook, Haisheng Li, Kailash C. Misra
Using certain results for the vertex operator algebras associated with affine Lie algebras we obtain recurrence relations for the characters of integrable highest weight irreducibl…
Twisted modules for vertex algebras associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We continue with [LY] to construct and classify graded simple twisted modules for the -graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algeb…
Pseudoderivations, pseudoautomorphisms and simple current modules for vertex algebras
Haisheng Li
We exhibit a connection between Etingof-Kazhdan's notion of pseudoderivation and a certain construction of simple current modules for a vertex operator algebra and meanwhile we int…
Nonlocal vertex algebras generated by formal vertex operators
Haisheng Li
This is the first paper in a series to study vertex algebra-like objects arising from infinite-dimensional quantum groups (quantum affine algebras and Yangians). In this paper we l…