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莱布尼茨（Gottfriend Wilhelm von Leibniz，1646.7.1.—1716.11.14.）
德国最重要的自然科学家、数学家、物理学家、历史学家和哲学家，一个举世罕见的科学天才，和牛顿同为微积分的创建人。他博览群书，涉猎百科，对丰富人类的科学知识宝库做出了不可磨灭的贡献。
低维Hom-Leibniz代数分类
Hom-Leibniz代数 自同态 分类
2014/1/8
运用待定系数法确定了复数域上的二维和三维Leibniz代数的自同态, 进而对相关非李代数的Hom-Leibniz代数进行了分类.
Leibniz algebras on symplectic plane and cohomological vector fields
Leibniz algebras symplectic-Poisson geometry anti-cyclic operads Quantum Algebra
2011/9/16
Abstract: By using help of algebraic operad theory, Leibniz algebra theory and symplectic-Poisson geometry are connected. We introduce the notion of cohomological vector field defined on nongraded sym...
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
On the description of the Leibniz algebras with nilindex n-3
description of the Leibniz algebras nilindex n-3
2011/1/20
In this paper we present the classification of a subclass of natu-rally graded Leibniz algebras. These n-dimensional Leibniz algebras have the characteristic sequence equal to (n−3, 3). For this...
Leibniz 2-algebras and twisted Courant algebroids
Leibniz 2-algebras L1-algebras omni-Lie 2-algebras
2011/2/28
In this paper, we give the categorification of Leibniz algebras, which is equivalent to 2-term
sh Leibniz algebras. They reveal the algebraic structure of omni-Lie 2-algebras introduced
in [22] as w...
Leibniz's Principles and Topological Extensions
topological extensions nonstandard models transfer principle
2011/2/24
Three philosophical principles are often quoted in connection with Leib-niz: “objects sharing the same properties are the same object”, “everything can possibly exist, unless it yields contradiction”,...
This article gives a local answer to the coquecigrue problem. Hereby we mean the problem, formulated by J-L. Loday in \cite{LodayEns}, is that of finding a generalization of the Lie's third theorem fo...
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associate...
On a class of n-Leibniz deformations of the simple Filippov algebras
n-Leibniz deformations simple Filippov algebras
2010/12/6
We study the problem of infinitesimal deformations of all real sim-ple finite-dimensional Filippov (or n-Lie) algebras considered as a class of n-Leibniz algebras characterized by having a n-bracket s...
Some results on homology of Leibniz and Lie n-algebras
Semi-abelian category higher central extension higher Hopf formula
2010/12/3
From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Li...
Quasi-filiform Leibniz algebras of maximum length
Lie algebra Leibniz algebra nilpotence natural graduation
2010/12/3
The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 p 2. For Lie algebras whose nilindex is equal to n − 2 there is only one characteristic seque...
三维Leibniz代数的分类
Leibniz代数 Lie代数 幂零Leibniz代数 可解Leibniz代数 理想
2008/8/21
Leibniz代数是比Lie代数更广泛的一类代数,它通常不满足反交换性.在这篇文章里我们确定了维数等于3的Leibniz代数的同构类.