From the 1 of 12 linked papers with an AI index.
12 papers
Tilting Completion and Self-Orthogonality Modules
Wen Chang, Quanyu Tang
We give negative answers to two tilting-completion questions for finite-dimensional algebras. We construct two finite-dimensional basic connected quasi-hereditary -algeb…
Strictly Convex Steklov-Isospectral Plane Domains
Tao Hu, Jiachen Shi, Quanyu Tang
We construct pairs of noncongruent bounded Euclidean plane domains with identical Steklov spectra, including multiplicities. This gives a negative answer to the planar Steklov anal…
Eventually greedy best Egyptian underapproximations of rational numbers via optimal control
Vjekoslav KovaÄ, Vjekoslav Kovač, Quanyu Tang
The paper proves that every positive rational number has eventually greedy best Egyptian underapproximations, both with and without repeated denominators, by reformulating the prob…
Infinitely Many Components in Auslander--Reiten Quivers of Representation-Infinite Algebras over Perfect Fields
Wen Chang, Quanyu Tang
Let be a perfect field and let be a representation-infinite finite-dimensional -algebra. We prove that the Auslander--Reiten quiver of has infinitely many connected…
A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues
Yixin He, Yanyang Li, Quanyu Tang
We prove the Ashbaugh--Benguria conjecture for bounded domains with smooth boundary in . More precisely, among all smooth bounded domains of fixed volume, the ball min…
The separable case of Kadison's problem on orthonormal bases of unitaries for type factors
Yixin He, Quanyu Tang, Teng Zhang
In 1967, Kadison asked ``does every type factor have an orthonormal (with respect to the trace) basis consisting of unitaries?'' Using a noncommutative Lyapunov the…