Embedding tensors on Lie $\infty$-algebras with respect to Lie $\infty$-actions

Raquel Caseiro, Joana Nunes da Costa

Given two Lie $\infty$-algebras $E$ and $V$, any Lie $\infty$-action of $E$ on $V$ defines a Lie $\infty$-algebra structure on $E\oplus V$. Some compatibility between the action an…