Munayim Dilxat

most citedClassification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra

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math.RT2022

$U (h)$ -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 $U (h)$ are free of rank $1$ over th…

math.RT2022★ 14 cited

Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra

Munayim Dilxat, Liangyun Chen, Dong Liu

With the $Ω$ -operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the $Ω$ -operators for the Ovsienko-Roger superalgebras in this pa…

U(h)-free modules over the Lie algebras of differential operators

Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra

$U (h)$ -free modules over the Lie algebras of differential operators