14 citations · 15 across the 4 of their papers we have counts for
4 papers
-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…
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…
Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra
Munayim Dilxat, Liangyun Chen, Dong Liu
With the -operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the -operators for the Ovsienko-Roger superalgebras in this pa…
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…