Higher derived brackets
Mathematical Physics
2010-11-23 v2 math.MP
Abstract
We show that there is a sequence of operations on the positively graded part of a differential graded algebra making it into an L-infinity algebra. The formulas for the higher brackets involve Bernoulli numbers. The construction generalizes the derived bracket for Poisson manifolds, and the Lie 2-algebra associated to a Courant algebroid constructed by Roytenberg and Weinstein.
Cite
@article{arxiv.1010.5859,
title = {Higher derived brackets},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:1010.5859},
year = {2010}
}
Comments
Second version contains a remark of Calaque, who pointed out that our construction is a special case of the work of Fiorenza and Manetti math/0601312. Six pages