Derived brackets and sh Leibniz algebras

  • Published 2009


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.

Cite this paper

@inproceedings{UCHINO2009DerivedBA, title={Derived brackets and sh Leibniz algebras}, author={K. UCHINO}, year={2009} }