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Algebraic Integrability and Minimality of Lie Equations for Transitive, Finite-Dimensional, Non-Commutative Lie Pseudogroups
We provide an algebraic characterization of transitive, finite-dimensional algebraic Lie pseudogroups (or $\mathcal{D}$-groupoids) that are algebraically integrable, that is, isogenous to the action groupoid of an algebraic group action. Our approach is based on the differential Galois theory of rat
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