Derived brackets for fat Leibniz algebras
classification
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keywords
algebraleibnizderivedalgebrasbracketbracketscentercertain
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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".
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