Nijenhuis forms on $L_{\infty }$-algebras and Poisson geometry

Abstract

We investigate Nijenhuis deformations of $L_{\infty }$-algebras, a notion that unifies several Nijenhuis deformations, namely those of Lie algebras, Lie algebroids, Poisson structures and Courant structures. Additional examples, linked to Lie $n$-algebras and $n$-plectic manifolds, are included.

References in corpus (3)

• Higher Symplectic Geometry
• Higher derived brackets
• Deformations of Lie 2-algebras

Cited by in corpus (2)

• Deformations of Lie 2-algebras
• Hom-Big Brackets: Theory and Applications