$\mathcal{O}$-operators on Lie $\infty$-algebras with respect to Lie $\infty$-actions

Autor:	Caseiro, R., da Costa, J. Nunes
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras Mathematical Physics Mathematics - Differential Geometry 17B10 17B40 17B70 55P43
Druh dokumentu:	Working Paper
DOI:	10.1080/00927872.2022.2025819
Popis:	We define $\mathcal{O}$-operators on a Lie $\infty$-algebra $E$ with respect to an action of $E$ on another Lie $\infty$-algebra and we characterize them as Maurer-Cartan elements of a certain Lie $\infty$-algebra obtained by Voronov's higher derived brackets construction. The Lie $\infty$-algebra that controls the deformation of $\mathcal{O}$-operators with respect to a fixed action is determined.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.01363 Zobrazit plný text záznamu View this record from Arxiv