activity
20072023
most citedIrreducible weight modules over the Schr{ö}dinger Lie algebra in dimensional space-time

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

collaborators

49 papers

math.SP2023

Remarks on paper "Two-term spectral asymptotics in linear elasticity''

Genqian Liu

In this note, we shall point out that all ``numerically calculations'' and figures in \cite{CaFrLeVa-23} are wrong because these calculations are based on some incorrect formulas.…

math.RT2023★ 1 cited

Whittaker categories and the minimal nilpotent finite -algebra for

Genqiang Liu, Yang Li

For any , we introduce a Whittaker category whose objects are -modules such that $e_…

math.RA2023

Rota-Baxter family -associative conformal algebras and their cohomology theory

Yuanyuan Zhang, Jun Zhao, Genqiang Liu

In this paper, we first propose the concept of Rota-Baxter family -associative conformal algebras, then we study the cohomology theory of Rota-Baxter family -associative conf…

math.SP2022★ 4 cited

Determining Lamé coefficients by elastic Dirichlet-to-Neumann map on a Riemannian manifold

Xiaoming Tan, Genqian Liu

For the Lamé operator with variable coefficients and on a smooth compact Riemannian manifold with smooth boundary , we give an expli…

math.SP2022

Two-term spectral asymptotics in linear elasticity on a Riemannian manifold

Genqian Liu

In this note, by explaining two key methods that were employed in \cite{Liu-21} and by giving some remarks, we show that the proof of Theorem 1.1 in \cite{Liu-21} is a rigorous pro…

math.DG2022

One can know the area and total curvatures of the boundary by hearing the resonances of a Stokes flow

Genqian Liu

By calculating full symbol for the Dirichlet-to-Neumann map of a Stokes flow, we establish the asymptotic expansion of the trace of the heat kernel for . We also give a usef…