Quadratic color Hom-Lie algebras

Abstract

The purpose of this paper is to study quadratic color Hom-Lie algebras. We present some constructions of quadratic color Hom-Lie algebras which we use to provide several examples. We describe $T^{\ast }$-extensions and central extensions of color Hom-Lie algebras and establish some cohomological characterizations.

References in corpus (11)

• 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
• On the Lie-algebraic origin of metric 3-algebras
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• Deformations of Hom-Alternative and Hom-Malcev algebras
• Generalized double extension and descriptions of qadratic Lie superalgebras
• Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras
• On Hom-algebra structures
• Quadratic $n$-ary Hom-Nambu algebras

Cited by in corpus (5)

• Representations and module-extensions of hom 3-Lie algebras
• Generalized Derivations of Hom-Lie Superalgebras
• Hom-Novikov color algebras
• Representations and $T$*-extensions of hom-Jordan-Lie algebras
• Hom-Nijienhuis operator and $T$*-extension of Hom-Lie Superalgebras