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Hom-Lie algebroids and hom-left-symmetric algebroids

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Abstract We give a notion of hom-left-symmetric algebroids, which are a generalization of hom-left symmetric algebras. We construct several examples of hom-Lie algebroids and hom-left-symmetric algebroids. Representations of hom-Lie algebroids… Click to show full abstract

Abstract We give a notion of hom-left-symmetric algebroids, which are a generalization of hom-left symmetric algebras. We construct several examples of hom-Lie algebroids and hom-left-symmetric algebroids. Representations of hom-Lie algebroids and hom-left-symmetric algebroids are given. Furthermore, we study the cohomologies of hom-Lie algebroids and hom-left-symmetric algebroids.

Keywords: symmetric algebroids; hom lie; left symmetric; algebroids hom; hom left

Journal Title: Journal of Geometry and Physics
Year Published: 2017

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