David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Symbolic Logic 68 (3):923-945 (2003)
Fields of characteristic zero with several commuting derivations can be treated as fields equipped with a space of derivations that is closed under the Lie bracket. The existentially closed instances of such structures can then be given a coordinate-free characterization in terms of differential forms. The main tool for doing this is a generalization of the Frobenius Theorem of differential geometry
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Nicolas Guzy (2007). Some Elements of Lie-Differential Algebra and a Uniform Companion for Large Lie-Differential Fields. Annals of Pure and Applied Logic 150 (1):66-78.
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