Representations of hom-Lie algebras

Physics – Mathematical Physics

Scientific paper

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16 pages, multiplicative and regular hom-Lie algebras are used, to appear in Algebra and Representation Theory

Scientific paper

In this paper, we study representations of hom-Lie algebras. In particular,
the adjoint representation and the trivial representation of hom-Lie algebras
are studied in detail. Derivations, deformations, central extensions and
derivation extensions of hom-Lie algebras are also studied as an application.

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