Derived brackets and sh Leibniz algebras
نویسنده
چکیده
We will give a generalized framework of derived bracket construction. It will be shown that a deformation differential provides a strong homotopy (sh) Leibniz algebra structure by derived bracket construction. A relationship between the three concepts, homotopy algebra theory, deformation theory and derived bracket construction, will be discussed. We will prove that the derived bracket construction is a map from the equivalence classes of deformation theory to the one of sh Leibniz algebras.
منابع مشابه
Homotopy Leibniz Algebras and Derived Brackets
We will discuss a bar/coalgebra construction of strong homotopy Leibniz algebras. We will give a generalized framework of derived bracket construction. We will prove that a deformation derivation of differential graded Leibniz algebra induces a strong homotopy Leibniz algebra by derived bracket method.
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