Yaohui Xue

activity

20202025

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

11 citations · 20 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2025

Generalized Verma modules over sl(m+1) induced from simple highest weight modules

Yaohui Xue, Yan Wang

A class of generalized Verma modules over sl(m+1) are constructed from simple highest weight gl(m)-modules. Furthermore, the simplicity criterion for these sl(m+1)-modules are dete…

math.RT2023

Classification of simple Harish-Chandra modules over the generalized Witt algebras

Rencai Lu, Yaohui Xue

In this paper, we classify simple Harish-Chandra modules over simple generalized Witt algebras.

math.RT2023

Representations of the Fermion-Virasoro algebras

Yaohui Xue, Kaiming Zhao

Let $δ = 0$ or $\frac{1}{2}$ . In this paper, we introduce the Fermion algebra $F (δ)$ and the Fermion-Virasoro algebra $S (δ)$ . They are infinite-dimensional Lie superalgebras…

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.RT2021

Tensor modules over Witt superalgebras

Yaohui Xue, Yan Wang

In this paper, we study the tensor module $P \otimes M$ over the Witt superalgebra $W_{m, n}^{+}$ (resp. $W_{m, n}$ ), where $P$ is a simple module over the Weyl superalgebra $K_{m, n}^{+}$ …

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…