Representations of hom-Lie algebras

2010/05/31 by Yunhe Sheng · 4 citations
Physics and Astronomy · Mathematics · #math-ph #math.MP #math.RA #math.RT

paper · pdf · doi:10.1007/s10468-011-9280-8

published as Algebra and Representation Theory, 15 (6) (2012), 1081-1098 · 16 pages, multiplicative and regular hom-Lie algebras are used, Algebra and Representation Theory, 15 (6) (2012), 1081-1098

arxiv created 2012/11/11 · arxiv updated 2015/03/16

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.

Cited by

• Representations and module-extensions of hom 3-Lie algebras
• Restricted hom-Lie algebras
• Representations and T*-extensions of hom-Jordan-Lie algebras
• Representations of Bihom-Lie algebras

Related

• Representations and T*-extensions of hom-Jordan-Lie algebras
• Representations of Simple Hom-Lie algebras
• A complement on representations of Hom-Lie algebras
• Representations of Bihom-Lie algebras
• Representations and module-extensions of hom 3-Lie algebras