3 papers
math-ph2025
Reducibility of Cartesian product quantum graph equipped with group action
Shimei Li, Kai Zhang, Jia Zhao
We consider a Cartesian product quantum graph with standard vertex conditions, and complete the decomposition of Hilbert space and th…
math.RA2024
Twisting of Lie triple systems, -algebras, and (generalized) matched pairs
Jia Zhao, Haobo Xia
In this paper, we introduce notions of (proto-, quasi-)twilled Lie triple systems and give their equivalent descriptions using the controlling algebra and bidegree convention. Then…
math.SP2024
Spectral properties of Sturm-Liouville operators on infinite metric graphs
Yihan Liu, Jun Yan, Jia Zhao
This paper mainly deals with the Sturm-Liouville operator \begin{equation*} \mathbf{H}=\frac{1}{w(x)}\left( -\frac{\mathrm{d}}{\mathrm{d}x}p(x)\frac{ \mathrm{d}}{\mathrm{d}x}+q(x)\…