-Operators on Lie ∞-algebras with respect to Lie ∞-actions

@article{Caseiro2022OperatorsOL,
  title={-Operators on Lie ∞-algebras with respect to Lie ∞-actions},
  author={Raquel Caseiro and J.M. Nunes da Costa},
  journal={Communications in Algebra},
  year={2022},
  volume={50},
  pages={3079 - 3101}
}
Abstract We define -operators on a Lie ∞-algebra E with respect to an action of E on another Lie ∞-algebra and we characterize them as Maurer-Cartan elements of a certain Lie ∞-algebra obtained by Voronov’s higher derived brackets construction. The Lie ∞-algebra that controls the deformation of -operators with respect to a fixed action is determined. 
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