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math.RA2024★ 1 cited
Solving Order 3 Difference Equations
Heba Bou KaedBey, Mark van Hoeij, Man Cheung Tsui
We classify order linear difference operators over that are solvable in terms of lower order difference operators. To prove this result, we introduce the notion…
math.RA2023
Cohomology for Picard-Vessiot theory
Man Cheung Tsui, Yidi Wang
We introduce a cohomology theory that classifies differential objects that arise from Picard-Vessiot theory, using the differential Hopf-Galois descent. To do this, we provide an e…
math.RA2022
Simplifying matrix differential equations with general coefficients
Man Cheung Tsui
We show that the matrix differential equation with general coefficients cannot be simplified to an equation in less than parameters by using gauge t…