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math.RT2023
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…
math.RT2022
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…
math.RT2013
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…