Hom-Lie algebroids

Abstract

We define hom-Lie algebroids, a definition that may seem cumbersome at first, but which is justified, first, by a one-to-one corespondence with hom-Gerstenhaber algebras, a notion that we also introduce, and several examples, including hom-Poisson structures.

References in corpus (6)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• Hom-algebras and homology
• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Non-commutative Hom-Poisson algebras
• Twisting Poisson algebras, coPoisson algebras and Quantization

Cited by in corpus (15)

• Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids
• Purely Hom-Lie bialgebras
• On Hom-Gerstenhaber algebras and Hom-Lie algebroids
• Hom-Big Brackets: Theory and Applications
• Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation
• Deformation of Hom-Lie-Rinehart algebras
• A complement on representations of Hom-Lie algebras
• On split regular Hom-Leibniz-Rinehart algebras
• Hom 3-Lie-Rinehart Algebras
• On Nash resolution of (singular) Lie algebroids
• Biderivations and commuting linear maps on Hom-Lie algebras
• Hom-Poisson-Nijenhuis structures on Hom-Lie algebroids and Hom-Dirac structures on Hom-Courant algebroids
• Derivation Hom-Lie 2-algebras and non-abelian extensions of Hom-Lie algebras
• Hom-Lie groups of a class of Hom-Lie algebra
• Equivalent description of Hom-Lie algebroids