Centre for Mathematics, University of Coimbra

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Type:	Journal Article
National /International:	International
Title:	Nijenhuis forms on Lie-infinity algebras associated to Lie algebroids
Publication Date:	2018-02
Authors:	- Mohammad Jawad Azimi - Camille Laurent-Gengoux - Joana Margarida Nunes da Costa
Journal Name:	Communications in Algebra
Volume:	46
Number:	2
Pages:	494-515
Abstract:	Introducing Nijenhuis forms on L∞-algebras gives a general frame to understand deformations of the latter. We give here a Nijenhuis interpretation of a deformation of an arbitrary Lie algebroid into an L∞-algebra. Then we show that Nijenhuis forms on L∞-algebras also give a short and ecient manner to understand Poisson-Nijenhuis structures and, more generally, the so-called exact Poisson quasi-Nijenhuis structures with background.
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