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Representations of Hom-Lie Algebras

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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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Authors and Affiliations

  1. Department of Mathematics, Jilin University, Changchun, 130012, Jilin, China

    Yunhe Sheng

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  1. Yunhe Sheng
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Correspondence to Yunhe Sheng.

Additional information

Research partially supported by NSF of China (11026046), Doctoral Fund. of EMC (20100061120096) and the Fundamental Research Fund for the Central Universities (200903294).

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Sheng, Y. Representations of Hom-Lie Algebras. Algebr Represent Theor 15, 1081–1098 (2012). https://doi.org/10.1007/s10468-011-9280-8

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  • DOI: https://doi.org/10.1007/s10468-011-9280-8

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