Derived Brackets
نویسندگان
چکیده
منابع مشابه
Equivalences of Higher Derived Brackets
This note elaborates on Th. Voronov’s construction [V1, V2] of L∞-structures via higher derived brackets with a Maurer–Cartan element. It is shown that gauge equivalent Maurer–Cartan elements induce L∞-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.
متن کاملDerived brackets and sh Leibniz algebras
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 construc...
متن کاملHigher Derived Brackets and Deformation Theory
The existing constructions of derived Lie and sh-Lie brackets involve multilinear maps that are used to define higher order differential operators. In this paper, we prove the equivalence of three different definitions of higher order operators. We then introduce a unifying theme for building derived brackets and show that two prevalent derived Lie bracket constructions are equivalent. Two basi...
متن کاملHomotopy 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.
متن کاملHomotopy Leibniz algebras and derived brackets ( version 2 )
We will give a generalized framework of derived bracket construction. The derived bracket construction provides a method of constructing homotopies. We will prove that a deformation derivation of dg Leibniz algebra (or called dg Loday algebra) induces a strong homotopy Leibniz algebra by the derived bracket method.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2004
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-004-0608-8