Genqiang Liu

activity

20072023

most citedIrreducible weight modules over the Schr{ö}dinger Lie algebra in

(n + 1)

dimensional space-time

14 citations · 66 across the 49 of their papers we have counts for

collaborators

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19 papers · 1 filter

math.RT2023★ 1 cited

Whittaker categories and the minimal nilpotent finite $W$ -algebra for $sl_{n + 1}$

Genqiang Liu, Yang Li

For any $a = (a_{1}, \dots, a_{n}) \in C^{n}$ , we introduce a Whittaker category $H_{a}$ whose objects are $sl_{n + 1}$ -modules $M$ such that $e_…

math.RT2022

A Whittaker category for the Symplectic Lie algebra

Yang Li, Jun Zhao, Yuanyuan Zhang +1

For any $n \in Z_{\geq 2}$ , let $m_{n}$ be the subalgebra of $sp_{2 n}$ spanned by all long negative root vectors $X_{- 2 ε_{i}}$ , $i = 1, \dots, n$ . An $\mathfr…

math.RT2021★ 5 cited

Whittaker category for the Lie algebra of polynomial vector fields

Yufang Zhao, Genqiang Liu

For any positive integer $n$ , let $A_{n} = C [t_{1}, \dots, t_{n}]$ , $W_{n} = Der (A_{n})$ and $Δ_n=\text{Span}\{\frac{\partial}{\partial{t_1}},\dots,\frac{\partial}{\partial{t_n}}\}…

math.RT2021

An algebra isomorphism on $U (gl_{n})$

Yang Li, Genqiang Liu

For each positive integer $n$ , let $s_{n} = gl_{n} ⋉ C^{n}$ . We show that $U(\mathfrak{s}_{n})_{X_{n}}\cong \mathcal{D}_{n}\otimes U(\mathfrak{s}_{n-1})…

math.RT2020

Irreducible Jet modules for the vector field Lie algebra on $S^{1} \times C$

Mengnan Niu, Genqiang Liu

For a commutative algebra $A$ over $C$ ,denote $g = Der (A)$ . A module over the smash product $A # U (g)$ is called a jet $g$ -module, wh…

math.RT2020★ 14 cited

Irreducible weight modules over the Schr{ö}dinger Lie algebra in $(n + 1)$ dimensional space-time

Genqiang Liu, Yang Li, Keke Wang

In this paper, we study weight representations over the Schr{ö}dinger Lie algebra $s_{n}$ for any positive integer $n$ . It turns out that the algebra $s_{n}$ can…

Whittaker categories and the minimal nilpotent finite W-algebra for sln+1​

A Whittaker category for the Symplectic Lie algebra

Whittaker category for the Lie algebra of polynomial vector fields

An algebra isomorphism on U(gln​)

Irreducible Jet modules for the vector field Lie algebra on S1×C

Irreducible weight modules over the Schr{ö}dinger Lie algebra in (n+1) dimensional space-time

Whittaker categories and the minimal nilpotent finite $W$ -algebra for $sl_{n + 1}$

An algebra isomorphism on $U (gl_{n})$

Irreducible Jet modules for the vector field Lie algebra on $S^{1} \times C$

Irreducible weight modules over the Schr{ö}dinger Lie algebra in $(n + 1)$ dimensional space-time