Results 231 to 240 of about 299,152 (273)

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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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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Derivations on a Lie Ideal

Canadian Mathematical Bulletin, 1988
AbstractIn this paper we prove the following result: let R be a prime ring with no non-zero nil left ideals whose characteristic is different from 2 and let U be a non central Lie ideal of R.If d ≠ 0 is a derivation of R such that d(u) is invertible or nilpotent for all u ∈ U, then either R is a division ring or R is the 2 X 2 matrices over a division ...
Mauceri, Silvana, Misso, Paola
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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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Lie Derivatives on Fiber Manifolds

Journal of Mathematical Sciences, 2002
The author studies the concept of Lie derivative on smooth manifolds that are fibered over a manifold by a projection \(\pi\).
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Lie ideals and nil derivations

1985
Let R be a 2-torsion free ring, d a derivation of R, and U a Lie ideal of R. The authors obtain extensions to Lie ideals of some results in the literature for ideals. Specifically, by assuming that \(d(x)^{n(x)}=0\) for each \(x\in U\), they prove that \(d(U)=0\) when either: R is a semi- simple ring; R is a prime ring containing no nonzero nil right ...
CARINI, Luisa, A. GIAMBRUNO
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Fixed points and Lie bracket (ternary) derivation–derivation

Journal of Analysis, 2022
Vahid Keshavarz
exaly  

Local derivations on Solvable Lie algebras

Linear and Multilinear Algebra, 2021
Shavkat Ayupov, Abror Kh Khudoyberdiyev
exaly