Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9953980 | Journal of Geometry and Physics | 2018 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ashis Mandal, Satyendra Kumar Mishra,