Deformation of Dual Leibniz Algebra Morphisms
نویسنده
چکیده
An algebraic deformation theory of morphisms of dual Leibniz algebras is obtained.
منابع مشابه
Leibniz algebra deformations of a Lie algebra
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra n3 and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of n3 with the versal base.
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 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 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.
متن کاملA Combinatorial Approach to Coefficients in Deformation Quantization
Graph cocycles for star-products are investigated from the combinatorial point of view, using Connes-Kreimer renormalization techniques. The Hochschild complex, controlling the deformation theory of associative algebras, is the “Kontsevich representation” of a DGLA of graphs coming from a pre-Lie algebra structure defined by graph insertions (Gerstenhaber composition with Leibniz rule). Propert...
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تاریخ انتشار 2006