Representation up to homotopy of Hom-Lie algebroids

Published 29 Dec 2016 in math.DG | (1612.09154v1)

Abstract: A hom-Lie algebroid is a vector bundle together with a Lie algebroid like structure which is twisted by a homomorphism. In this paper we use the idea of representations up to homotopy of Lie algebroids to construct a same structure for hom-Lie algebroids and we will explain how representations up to homotopy of length 1 are related to extensions of hom-Lie algebroids.

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