Higher derived brackets

Details Higher derived brackets Higher derived brackets

2010-10-28

arxiv.org/abs/1010.5859v2

Physics

Mathematical Physics

Second version contains a remark of Calaque, who pointed out that our construction is a special case of the work of Fiorenza a

Scientific paper

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.

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