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Representations of hom-Lie algebras

Published 2 May 2010 in math-ph, math.MP, math.RA, and math.RT | (1005.0140v4)

Abstract: 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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