22 citations · 67 across the 17 of their papers we have counts for
19 papers
From Lie--Rinehart Algebras to -Manifold Algebras
Yufeng Pei, Yunhe Sheng
For every Lie--Rinehart algebra, we construct an -manifold algebra on the direct sum of its base algebra and module. Contrary to the assertion in \cite[Proposition 13.3.26]{Loda…
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…
1-cocycles of the Witt algebra with coefficients in tensor product of modules
Shoulan Gao, Dong Liu, Yufeng Pei
In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem o…
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…