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Equivalent Description of Hom-Lie Algebroids

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We study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids, and discuss equivalent statements of Hom-Lie algebroids. Then, we prove that two known definitions of Hom-Lie algebroids can be transformed into each other under some conditions.
Title: Equivalent Description of Hom-Lie Algebroids
Description:
We study representations of Hom-Lie algebroids, give some properties of Hom-Lie algebroids, and discuss equivalent statements of Hom-Lie algebroids.
Then, we prove that two known definitions of Hom-Lie algebroids can be transformed into each other under some conditions.

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