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Universal Lie Formulas for Higher Antibrackets
Symmetry, integrability and geometry: methods and applications, Tome 12 (2016) Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that the hierarchy of higher antibrackets (aka higher Koszul brackets, aka Koszul braces) of a linear operator $\Delta$ on a commutative superalgebra can be defined by some universal formulas involving iterated Nijenhuis–Richardson brackets having as arguments $\Delta$ and the multiplication operators. As a byproduct, we can immediately extend higher antibrackets to noncommutative algebras in a way preserving the validity of generalized Jacobi identities.
Keywords: Lie superalgebras; higher brackets. 
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     author = {Marco Manetti and Giulia Ricciardi},
     title = {Universal {Lie} {Formulas} for {Higher} {Antibrackets}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a52/}
}
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Marco Manetti; Giulia Ricciardi. Universal Lie Formulas for Higher Antibrackets. Symmetry, integrability and geometry: methods and applications, Tome 12 (2016). http://geodesic.mathdoc.fr/item/SIGMA_2016_12_a52/

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