Weak symmetry actions of Lie algebras on singular foliations induce unique-up-to-homotopy Lie∞-morphisms to the DGLA on the universal Lie∞-algebroid, with consequences including non-extendable actions and bi-submersion towers.
On the catego ry of Lie n-algebroids
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On symmetries of singular foliations
Weak symmetry actions of Lie algebras on singular foliations induce unique-up-to-homotopy Lie∞-morphisms to the DGLA on the universal Lie∞-algebroid, with consequences including non-extendable actions and bi-submersion towers.