Results 301 to 310 of about 5,953,085 (343)

Lie Derivatives and Dynamical Systems

Chaos, Solitons & Fractals, 1998
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Kocarev, Ljupčo, Parlitz, Ulrich, Hu, Bambi   +2 more
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Nonlinear mixed Lie triple derivations on prime *-algebras

Communications in Algebra, 2019
Let be a unite prime *-algebra containing a non-trivial projection, and be a nonlinear mixed Lie triple derivation. Then is an additive *-derivation.
You-He Zhou, Zhujun Yang, Jianhua Zhang
semanticscholar   +1 more source

On the Lie derivations and generalized Lie derivations of quaternion rings

Communications in Algebra, 2019
Let S be a unital ring in which 2 is invertible, and let be the quaternion ring over S. In this paper, we describe the Lie derivations and generalized Lie derivations of R, we show that if S is commutative or semiprime, then every Lie derivation (resp ...
H. Ghahramani, M. N. Ghosseiri, L. Heidari Zadeh   +2 more
semanticscholar   +1 more source

Characterizations of Lie triple derivations on generalized matrix algebras

, 2020
Let be a commutative ring with unity and be a generalized matrix algebra. In this article, we give the structure of Lie triple derivation on a generalized matrix algebra and prove that under certain appropriate assumptions on is proper, i.e., where δ is ...
M. Ashraf, Mohd Shuaib Akhtar
semanticscholar   +1 more source

Symmetric amenability and Lie derivations

Mathematical Proceedings of the Cambridge Philosophical Society, 2004
\textit{B. E. Johnson} proved that a continuous Lie derivation from a symmetrically amenable semisimple Banach \(A\) into a Banach algebra \(A\)-bimodule \(X\) can be uniquely decomposed into the sum of a derivation and a centre-valued trace [Math. Proc. Camb. Philos. Soc. 120, 455--473 (1996; Zbl 0888.46024)].
Mathieu, Martin, Alaminos, J., Villena, A.R.   +2 more
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Generalized Lie n-derivations of triangular algebras

Communications in Algebra, 2019
Let be a triangular algebra. We show that under suitable assumptions every generalized Lie n-derivation associated with a linear map is of the form where and Δ is a Lie n-derivation of We solve this problem using commuting and centralizing maps.
Dominik Benkovič
semanticscholar   +1 more source

Nonlinear Lie derivations of incidence algebras of finite rank

Operators and Matrices, 2019
Let be a finite preordered set, R a 2-torsion free commutative ring with unity and the incidence algebra of X over R. In this paper we prove that every nonlinear Lie derivation of is of the standard form. More explicitly, each nonlinear Lie derivation of
Yuping Yang
semanticscholar   +1 more source

Hom-Lie Algebras with Derivations

Frontiers of Mathematics
The authors recall some basic definitions related to Hom-Lie algebras [\textit{A. Makhlouf} and \textit{S. D. Silvestrov}, J. Gen. Lie Theory Appl. 2, No. 2, 51--64 (2008; Zbl 1184.17002)] and they introduced HLieDer(L) as a Hom-Lie algebra endowed with a derivation.
Li, Yizheng, Wang, Dingguo
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The Lie Derivative

1984
We first introduce some tools and facts on integral curves and flows of vector fields. Then mappings of tensor fields, in particular by diffeomorphisms, are defined. This allows us to introduce the Lie derivative of a tensor field with respect to a vector field. The properties of this important differential operation are formulated in several theorems,
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On Derivations of Lie Algebras

Canadian Journal of Mathematics, 1976
A well known result in the theory of Lie algebras, due to H. Zassenhaus, states that if is a finite dimensional Lie algebra over the field K such that the killing form of is non-degenerate, then the derivations of are all inner, [3, p. 74]. In particular, this applies to the finite dimensional split simple Lie algebras over fields of characteristic ...
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