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VB-Hom Algebroid Morphisms and 2-Term Representation Up to Homotopy of Hom-Lie Algebroids

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Iranian Journal of Science and Technology, Transactions A: Science Aims and scope Submit manuscript

Abstract

A hom-Lie algebroid is a vector bundle together with a Lie algebroid-like structure which is twisted by a homomorphism and a VB-hom algebroid is essentially defined as a hom-Lie algebroid object in the category of vector bundles. In this paper, we show that, there exists a correspondence between the VB-hom algebroids and two term representations up to homotopy of hom-Lie algebroid.

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This work was funded by Shiraz University.

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Correspondence to M. R. Farhangdoost.

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Merati, S., Farhangdoost, M.R. VB-Hom Algebroid Morphisms and 2-Term Representation Up to Homotopy of Hom-Lie Algebroids. Iran J Sci Technol Trans Sci 45, 937–944 (2021). https://doi.org/10.1007/s40995-020-01049-1

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  • DOI: https://doi.org/10.1007/s40995-020-01049-1

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