Hom-Big Brackets: Theory and Applications
Mathematical Physics
2016-02-08 v3 math.MP
Abstract
In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom-Nijenhuis operators.
Keywords
Cite
@article{arxiv.1507.04061,
title = {Hom-Big Brackets: Theory and Applications},
author = {Liqiang Cai and Yunhe Sheng},
journal= {arXiv preprint arXiv:1507.04061},
year = {2016}
}