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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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Is there any relation between deformation and extension of Lie algebras?
Hinich says in "Deformation theory and lie algebra homology",
that Grothendieck says that "to each deformation problem we can assign a sheaf of Lie algebras over X; the sheaf of infinitesimal automor …