38 citations · 74 across the 10 of their papers we have counts for
10 papers
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…
Local derivations and local automorphisms on the super Virasoro algebras
Qingyan Wu, Shoulan Gao, Dong Liu +1
This paper aims to study the local derivations, 2-local automorphisms and local automorphisms on the super-Virasoro algebras. The primary focus is to establish that every local der…
-free modules over the Lie algebras of differential operators
Munayim Dilxat, Shoulan Gao, Dong Liu +1
In this paper, we consider some non-weight modules over the Lie algebra of Weyl type. First, we determine the modules whose restriction to are free of rank over th…
Local derivations on the Lie algebra
Qingyan Wu, Shoulan Gao, Dong Liu
The present paper is devoted to studying local derivations on the Lie algebra which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key c…
Super-biderivations and post-Lie superalgebras on some Lie superalgebras
Munayim Dilxat, Shoulan Gao, Dong Liu
In this paper, all symmetric super-biderivations of some Lie superalgebras are determined. As an application, commutative post-Lie superalgebra structures on these Lie superalgebra…
2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra
Munayim Dilxat, Shoulan Gao, Dong Liu
The present paper is devoted to study 2-local superderivations on the super Virasoro algebra and the super W(2,2) algebra. We prove that all 2-local superderivations on the super V…