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math.RA2024
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…