Shiyuan Liu

activity

20242026

collaborators

4 papers

math.PR2026

Long term convergence rate of Smoluchowski-Kramers approximation by Stein's method

Shiyu Liu, Wei Liu, Lihu Xu

We consider the following second-order stochastic differential equation on $R^{2 d}$ : \begin{equation*} dX_t^m=Y_t^mdt, \quad mdY_t^m=b(X_t^m)dt+Ï(X_t^m)dB_t-Y^m_tdt, \end…

math.RT2025

Quasi-Whittaker modules

Cunguang Cheng, Wenting Gao, Shiyuan Liu +2

In this paper, a general setting is proposed to define a class of modules over nonsemisimple Lie algebras $g$ induced by a nonperfect ideal $p$ . This class of…

math.RT2025

Simple smooth modules over the Lie algebras of polynomial vector fields

Zhiqiang Li, Cunguang Cheng, Shiyuan Liu +3

Let $g := Der (C [t_{1}, t_{2}, \dots, t_{n}])$ and $L := Der (C [[t_{1}, t_{2}, \dots, t_{n}]])$ be the Witt Lie algebras. Clearly, $g$ i…

math.RT2024

Symmetric Biderivations on Complex Semisimple Lie Algebras

Liu Shiyuan, Liu Dong, Zhao Yueqiang

This paper studies biderivations on finite-dimensional complex semisimple Lie algebras to their finite-dimensional modules. More precisely, we prove that all such symmetric bideriv…