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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…
On certain vertex algebras and their modules associated with vertex algebroids
Haisheng Li, Gaywalee Yamskulna
We study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple…
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
Yi-Zhi Huang, James Lepowsky, Haisheng Li +1
We produce counterexamples to show that in the definition of the notion of intertwining operator for modules for a vertex operator algebra, the commutator formula cannot in general…
A new construction of vertex algebras and quasi modules for vertex algebras
Haisheng Li
In this paper, a new construction of vertex algebras from more general vertex operators is given and a notion of quasi module for vertex algebras is introduced and studied. More sp…