Representations and $T$*-extensions of hom-Jordan-Lie algebras

Abstract

The purpose of this paper is to study representations and $T$*-extensions of hom-Jordan-Lie algebras. In particular, adjoint representations, trivial representations, deformations and many properties of $T$*-extensions of hom-Jordan-Lie algebras are studied in detail. Derivations and central extensions of hom-Jordan-Lie algebras are also discussed as an application.

26pages. arXiv admin note: substantial text overlap with arXiv:1005.0140 by other authors

References in corpus (3)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• Quadratic color Hom-Lie algebras