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arxiv: 1010.5859 · v2 · pith:AMIX3RS2new · submitted 2010-10-28 · 🧮 math-ph · math.MP

Higher derived brackets

classification 🧮 math-ph math.MP
keywords algebrabracketsderivedgradedhigheralgebroidassociatedbernoulli
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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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