1 citations · 1 across the 10 of their papers we have counts for
10 papers
On integral forms for vertex superalgebras associated with affine Lie superalgebras and their modules
Hongyan Guo, Hongju Zhao
This paper studies integral forms for affine vertex superalgebras and their modules. We first obtain integral forms for the universal enveloping superalgebra $U(\hat{\g})$ of an af…
Restricted modules and associated vertex algebras of extended Heisenberg-Virasoro algebra
Hongyan Guo, Huaimin Li
In this paper, a family of infinite dimensional Lie algebras is introduced and investigated, called the extended Heisenberg-Virasoro algebra,denoted by $\tild…
Trigonometric Lie algebras, affine Kac-Moody Lie algebras, and equivariant quasi modules for vertex algebras
Hongyan Guo, Haisheng Li, Shaobin Tan +1
In this paper, we study a family of infinite-dimensional Lie algebras , where stands for the type: , and is an abelian group, which generalize the…
Restricted modules for gap- Virasoro algebra and twisted modules for certain vertex algebras
Hongyan Guo, Chengkang Xu
This paper studies restricted modules of gap- Virasoro algebra and their intrinsic connection to twisted modules of certain vertex algebras. We first establish an equivalenc…
Algebra of q-difference operators, affine vertex algebras, and their modules
Hongyan Guo
In this paper, we explore a canonical connection between the algebra of -difference operators , affine Lie algebra and affine vertex algebras associated to ce…
Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra
Hongyan Guo
We first determine the automorphism group of the twisted Heisenberg-Virasoro vertex operator algebra .Then, for any integer , we introduce a new…
q-Virasoro algebra and affine Kac-Moody Lie algebras
Hongyan Guo, Haisheng Li, Shaobin Tan +1
We establish a natural connection of the -Virasoro algebra introduced by Belov and Chaltikian with affine Kac-Moody Lie algebras. More specifically, for each abelian gro…
Twisted Heisenberg-Virasoro vertex operator algebra
Hongyan Guo, Qing Wang
In this paper, we study a new kind of vertex operator algebra related to the twisted Heisenberg-Virasoro algebra, which we call the twisted Heisenberg-Virasoro vertex operator alge…
-Virasoro algebra and vertex algebras
Hongyan Guo, Haisheng Li, Shaobin Tan +1
In this paper, we study a certain deformation of the Virasoro algebra that was introduced and called -Virasoro algebra by Nigro,in the context of vertex algebras. Among the…
Some categories of modules for toroidal Lie algebras
Hongyan Guo, Shaobin Tan, Qing wang
In this paper, we use basic formal variable techniques to study certain categories of modules for the toroidal Lie algebra . More specifically, we define and study two categorie…