22 citations · 67 across the 17 of their papers we have counts for
10 papers · 1 filter
Singular vectors, characters, and composition series for the N=1 BMS superalgebra
Wei Jiang, Dong Liu, Yufeng Pei +1
This paper investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient c…
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…
Smooth modules over the N=1 Bondi-Metzner-Sachs superalgebra
Dong Liu, Yufeng Pei, Limeng Xia +1
In this paper, we present a determinant formula for the contravariant form on Verma modules over the N=1 Bondi-Metzner-Sachs (BMS) superalgebra. This formula establishes a necessar…
Simple smooth modules over the superconformal current algebra
Dong Liu, Yufeng Pei, Limeng Xia +1
In this paper, we classify simple smooth modules over the superconformal current algebra . More precisely, we first classify simple smooth modules over the Heisenberg-Clif…
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…
Representations for three-point Lie algebras of genus zero
Dong Liu, Yufeng Pei, Limeng Xia
In this paper, we study representations for three-point Lie algebras of genus zero based on the Cox-Jurisich's presentations. We construct two functors which transform simple restr…