Representations of hom-Lie algebras
Mathematical Physics
2015-03-17 v4 math.MP
Rings and Algebras
Representation Theory
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.
Keywords
Cite
@article{arxiv.1005.0140,
title = {Representations of hom-Lie algebras},
author = {Yunhe Sheng},
journal= {arXiv preprint arXiv:1005.0140},
year = {2015}
}
Comments
16 pages, multiplicative and regular hom-Lie algebras are used, Algebra and Representation Theory, 15 (6) (2012), 1081-1098