Complex and Kahler structures on hom-Lie algebras
Rings and Algebras
2016-10-26 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
Complex and Hermitian structures on hom-Lie algebras are introduced and some examples of these structures are presented. Also, it is shown that there not exists a proper complex (Hermitian) home-Lie algebra of dimension two. Then using a hom-left symmetric algebra, a phase space is provided and then a complex structure on it, is presented. Finally, the notion of Kahler hom-Lie algebra is introduced and then using a Kahler hom-Lie algebra, a phase space is constructed.
Keywords
Cite
@article{arxiv.1610.07775,
title = {Complex and Kahler structures on hom-Lie algebras},
author = {E. Peyghan and L. Nourmohammadifar},
journal= {arXiv preprint arXiv:1610.07775},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1607.03435