Restricted hom-Lie algebras

Abstract

The paper studies the structure of restricted hom-Lie algebras. More specifically speaking, we first give the equivalent definition of restricted hom-Lie algebras. Second, we obtain some properties of $p$-mappings and restrictable hom-Lie algebras. Finally, the cohomology of restricted hom-Lie algebras is researched.

15pages. arXiv admin note: text overlap with arXiv:math/0111090, arXiv:1005.0140 by other authors

References in corpus (4)

• 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