Xiangqian Guo

activity

20062025

most citedModules over the Heisenberg-Virasoro and

W (2, 2)

algebras

62 citations · 165 across the 21 of their papers we have counts for

collaborators

Showing 2017Show all

6 papers · 1 filter

math.RT2017★ 1 cited

Simple modules over the Lie algebras of divergence zero vector fields on a torus

Brendan Frisk Dubsky, Xianqian Guo, Yufeng Yao +1

Let $n \geq 2$ be an integer, $K_{n}$ the Weyl algebra over the Laurent polynomial algebra $A_{n} = C [x_{1}^{\pm 1}, x_{2}^{\pm 1}, ..., x_{n}^{\pm 1}]$ , and $S_{n}$ the L…

math.RT2017★ 2 cited

Irreducible modules over the divergence zero algebras and their $q$ -analogues

Xuewen Liu, Xiangqian Guo, Zhen Wei

In this paper, we study a class of $Z_{d}$ -graded modules, which are constructed using Larsson's functor from $\sl_d$-modules $V$ , for the Lie algebras of divergence zero vector fie…

math.RT2017

New irreducible tensor product modules for the Virasoro algebra (II)

Xuewen Liu, Xiangqian Guo, Jing Wang

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $Ω (λ, α, h)$ and $Ω (μ, b)$ with irreducible highest weight modules…

math.RT2017★ 3 cited

New irreducible tensor product modules for the Virasoro algebra

Xiangqian Guo, Xuewen Liu, Jing Wang

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules $Ω (λ, α, h)$ defined in \cite{CG}, with irreducible highest weight…

math.RT2017★ 2 cited

On the module structure of the center of hyperelliptic Krichever-Novikov algebras

Ben Cox, Mee Seong Im

We consider the coordinate ring of a hyperelliptic curve and let $g \otimes R$ be the corresponding current Lie algebra where $g$ is a finite dimensional simple…

math.RT2017★ 4 cited

Simple Witt modules that are finitely generated over the cartan subalgebra

Xiangqian Guo, Genqiang Liu, Rencai Lu +1

Let $d \geq 1$ be an integer, $W_{d}$ and $K_{d}$ be the Witt algebra and the weyl algebra over the Laurent polynomial algebra $A_d=\mathbb{C} [x_1^{\pm1}, x_2^{\pm1}, ..., x_d^…