# -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.

## One Citation

A survey on deformations, cohomologies and homotopies of relative Rota–Baxter Lie algebras

- MathematicsBulletin of the London Mathematical Society
- 2022

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