Representations of Bihom-Lie algebras
Representation Theory
2016-10-17 v1
Abstract
Bihom-Lie algebra is a generalized Hom-Lie algebra endowed with two commuting multiplicative linear maps. In this paper, we study cohomology and representations of Bihom-Lie algebras. In particular, derivations, central extensions, derivation extensions, the trivial representation and the adjoint representation of Bihom-Lie algebras are studied in detail.
Keywords
Cite
@article{arxiv.1610.04302,
title = {Representations of Bihom-Lie algebras},
author = {Yongsheng Cheng and Huange Qi},
journal= {arXiv preprint arXiv:1610.04302},
year = {2016}
}
Comments
26 pages. arXiv admin note: text overlap with arXiv:1005.0140, arXiv:1405.2662 by other authors