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math.AC2010★ 4 cited
Galois theory of difference equations with periodic parameters
Benjamin Antieau, Alexey Ovchinnikov, Dmitry Trushin
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups. We then apply this t…
math.RT2010★ 26 cited
Zariski Closures of Reductive Linear Differential Algebraic Groups
Andrey Minchenko, Alexey Ovchinnikov
Linear differential algebraic groups (LDAGs) appear as Galois groups of systems of linear differential and difference equations with parameters. These groups measure differential-a…