Derived brackets for fat Leibniz algebras
Rings and Algebras
2016-12-28 v1
Abstract
Given a Leibniz algebra L with left center Z, we work on C(L,Z,S(Z)), the Z-standard complex of L with coefficients in S(Z). We construct the derived bracket for a fat Leibniz algebra in terms of a certain 3-cocycle and a Poisson algebra structure on the space of so-called "representable cochains".
Cite
@article{arxiv.1612.08244,
title = {Derived brackets for fat Leibniz algebras},
author = {Xiongwei Cai and Zhangju Liu},
journal= {arXiv preprint arXiv:1612.08244},
year = {2016}
}
Comments
17 pages