Rencai Lü

most citedClassification of simple bounded weight modules of the Lie algebra of vector fields on $\C^n$

11 citations · 20 across the 4 of their papers we have counts for

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4 papers

math.RT2021

Classification of simple strong Harish-Chandra modules over the Lie superalgebra of vector fields on $\C^{m|n}$

Yan-an Cai, Rencai Lü, Yaohui Xue

In this paper, we classify simple strong Harish-Chandra modules over the Lie superalgebra $W_{m, n}$ of vector fields on $\C^{m|n}$. Any such module is the unique simple submodule o…

math.RT2020★ 1 cited

bounded weight modules over the Lie superalgebra of Cartan W-type

Rencai Lü, Yaohui Xue

Let $A_{m, n}$ be the tensor product of the polynomial algebra in $m$ even variables and the exterior algebra in $n$ odd variables over the complex field $\C$, and the Witt superalg…

math.RT2020★ 11 cited

Classification of simple bounded weight modules of the Lie algebra of vector fields on $\C^n$

Yaohui Xue, Rencai Lü

Let $W_{n}^{+}$ be the Lie algebra of the Lie algebra of vector fields on $\C^n$. In this paper, we classify all simple bounded weight $W_{n}^{+}$ modules. Any such module is isomorphic to…

math.RT2020★ 8 cited

Simple weight modules with finite-dimensional weight spaces over Witt superalgebras

Yaohui Xu, Rencai Lü

Let $A_{m, n}$ be the tensor product of the Laurient polynomial algebra in $m$ even variables and the exterior algebra in $n$ odd variables over the complex field $\bC$, and the Wit…