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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…
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…
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…