Yang Li

activity

20172023

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

(n + 1)

dimensional space-time

14 citations · 16 across the 6 of their papers we have counts for

collaborators

6 papers

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

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★ 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…

math.RT2019★ 1 cited

BGG category for the quantum Schrödinger algebra

Genqiang Liu, Yang Li

In this paper, we study the BGG category $O$ for the quantum Schr{ö}dinger algebra $U_{q} (s)$ , where $q$ is a nonzero complex number which is not a root of unity…

math.RT2017

Localization of highest weight modules of a class of Extended Affine Lie Algebras

Genqiang Liu, Yang Li, Yihan Wang

In 2006, Gao and Zeng \cite{GZ} gave the free field realizations of highest weight modules over a class of extended affine Lie algebras. In the present paper, applying the techniqu…

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