WebApr 17, 2007 · Deformation of Dual Leibniz Algebra Morphisms Donald Yau Department of Mathematics , The Ohio State University at Newark , Newark, Ohio, … WebMetric 3-algebras Cohomology of Leibniz algebras Deformations of 3-Leibniz algebras An explicit example The associated metric Lie algebra If Vis a metric 3-Lie algebra, the map D: 2!so( ).Its image is not just a Lie subalgebra of so(V), but is actually metric, with inner product (D(x^y),D(z^w)) = h[xy,z],wi. In fact, associated to every metric Lie subalgebra of …

Deformation of Dual Leibniz Algebra Morphisms

WebThe cohomology and the associated deformation theory for Hom-Leibniz algebras as developed here are also extended to equivariant context, under the presence of finite group actions on Hom-Leibniz algebras. ... [12] M. Gerstenhaber and S. D. Schack, On the deformation of algebra morphisms and diagrams, Trans. Amer. Math. Soc. 279(1) ... WebDeformation theory of associative algebra morphisms was studied by M. Gerstenhaberand S.D. Schack [18], [19], [20]. Deformation theory of Lie algebras was studied by Nijenhuis and Richard-son [1], [2]. Algebraic deformations of modules were first studied by Donald and Flanigan [9]. Deformation theory of Leibniz algebra morphisms … do the 81

Deformation of Leibniz algebra morphisms Request PDF

Webneeds an L∞-algebra. We will show how to construct, for a (diagram of) algebra(s) A belonging to a specified class of structures, an L∞-algebra g= (C∗(A,A),δ = l1,l2,...) governing its deformations. We will focus on explicit calculations and examples. We, in par-ticular, show that deformations of morphisms are controlled by a WebOct 11, 2024 · The purpose of this paper is to define cohomology complexes and study deformation theory of n-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions ... WebLeibniz algebras and associated Leibniz triple systems. In this paper, all Leibniz triple systems are defined over a fixed but arbitrary field F. 2. Preliminaries In this section, we recall some basic definitions of Leibniz triple systems. Definition 2.1. [9] A Leibniz triple system is a vector space Lendowed with a trilinear operation city of tampa rfp