Universal central extensions of Hom-Lie antialgebras
Rings and Algebras
2021-02-23 v3
Abstract
We develop a theory of universal central extensions for Hom-Lie antialgebra. It is proved that a Hom-Lie antialgebra admits a universal central extension if and only if it is perfect. Moreover, we show that the kernel of the universal central extension is equal to the second homology group with trivial coefficients.
Keywords
Cite
@article{arxiv.1907.12886,
title = {Universal central extensions of Hom-Lie antialgebras},
author = {Tao Zhang and Deshou Zhong},
journal= {arXiv preprint arXiv:1907.12886},
year = {2021}
}
Comments
16pages, no figures, add crossed modules and examples. arXiv admin note: text overlap with arXiv:1903.08870