2 citations · 6 across the 9 of their papers we have counts for
9 papers
Classification of Simple Harish-Chandra Modules over the Loop Mirror HeisenbergVirasoro Algebra
Haibo Chen, Xiansheng Dai, Yucai Su
The loop mirror Heisenberg-Virasoro algebra, an embedded subalgebra of the loop Heisenberg-Virasoro algebra, admits a family of interesting truncated subalgebras including those of…
Irreducible modules over N=2 superconformal algebras from algebraic D-modules
Haibo Chen, Xiansheng Dai, Dong Liu +1
In this paper, we introduce a family of functors denoted that act on algebraic D-modules and generate modules over N=2 superconformal algebras. We prove these funct…
Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
Wen Teng, Xiansheng Dai
In this paper, first we introduce the notion of a nonabelian embedding tensor on the 3-Lie algebra. Then, we introduce the notion of a 3-Leibniz-Lie algebra, which is the underlyin…
Irreducible Modules for Super-Virasoro Algebras from Algebraic D-Modules
Haibo Chen, Xiansheng Dai, Dong Liu +1
In this paper, we introduce a new family of functors from the category of modules for the Weyl algebra to the category of modules for the super-Virasoro algebras. The properties of…
A family of simple non-weight modules over the twisted superconformal algebra
Haibo Chen, Xiansheng Dai, Mingqiang Liu
We construct a class of non-weight modules over the twisted superconformal algebra $\T$. Let $\mathfrak{h}=\C L_0\oplus\C G_0$ be the Cartan subalgebra of $\T$, and let $\mat…
The Heisenberg-Virasoro Lie conformal superalgebra
Haibo Chen, Xiansheng Dai, Yanyong Hong
In this paper, we introduce a finite Lie conformal superalgebra called the Heisenberg-Virasoro Lie conformal superalgebra by using a class of Heisenberg-Virasoro Lie…
A class of non-weight modules over the super-BMS algebra
Haibo Chen, Xiansheng Dai, Ying Liu +1
In the present paper, a class of non-weight modules over the super-BMS algebras ( or ) are constructed. Assume that $\mathfrak{t}=\C L_0\oplus\C W_0\opl…
Loop super-Virasoro Lie conformal superalgebra
Xiansheng Dai, Jianzhi Han
The loop super-Virasoro conformal superalgebra associated with the loop super-Virasoro algebra is constructed in the present paper. The conformal superderivation a…
Super-biderivations of Lie superalgebras
Guangzhe Fan, Xiansheng Dai
In this paper we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless super-Virasoro algebras a…