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arXiv · 1707.08891

On Hom-Gerstenhaber algebras and Hom-Lie algebroids

Ashis Mandal·Satyendra Kumar Mishra
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Abstract

We define the notion of hom-Batalin-Vilkovisky algebras and strong differential hom-Gerstenhaber algebras as a special class of hom-Gerstenhaber algebras and provide canonical examples associated to some well-known hom-structures. Representations of a hom-Lie algebroid on a hom-bundle are defined and a cohomology of a regular hom-Lie algebroid with coefficients in a representation is studied. We discuss about relationship between these classes of hom-Gerstenhaber algebras and geometric structures on a vector bundle. As an application, we associate a homology to a regular hom-Lie algebroid and then define a hom-Poisson homology associated to a hom-Poisson manifold.

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BibTeXRIS

Ashis Mandal, Satyendra Kumar Mishra. 2017-07-26. On Hom-Gerstenhaber algebras and Hom-Lie algebroids. https://doi.org/10.1016/j.geomphys.2018.07.018

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