Results 11 to 20 of about 14,741 (268)
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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The Definition of Lie Derivative [PDF]
Proceedings of the Edinburgh Mathematical Society, 1960 The differential operation known as Lie derivation was introduced by W. Slebodzinski in 1931, and since then it has been used by numerous investigators in applications in pure and applied mathematics and also in physics. A recent monograph by Kentaro Yano (2) devoted to the theory and application of Lie derivatives gives some idea of the wide range of ...
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On Equality of Certain Derivations of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2019 Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita +2 more
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A note on Lie Lorentz derivatives [PDF]
Classical and Quantum Gravity, 2002 The definition of ``Lie derivative'' of spinors with respect to Killing vectors is extended to all kinds of Lorentz tensors. This Lie-Lorentz derivative appears naturally in the commutator of two supersymmetry transformations generated by Killing spinors and vanishes for Vielbeins.
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A NOTE ON DERIVATIONS OF LIE ALGEBRAS [PDF]
Bulletin of the Australian Mathematical Society, 2011 AbstractIn this note, we will prove that a finite-dimensional Lie algebra L over a field of characteristic zero, admitting an abelian algebra of derivations D≤Der(L), with the property for some n>1, is necessarily solvable. As a result, we show that if L has a derivation d:L→L such that Ln⊆d(L), for some n>1, then L is solvable.
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Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Xiaofei, Hou, Jinchuan
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On Lie ideals satisfying certain differential identities in prime rings
Extracta Mathematicae, 2023 Let R be a prime ring of characteristic not 2, L a nonzero square closed Lie ideal of R and let F : R → R, G : R → R be generalized derivations associated with derivations d : R → R, g : R → R respectively.
B. Dhara, S. Ghosh, G.S. Sandhu
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On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]
Engineering and Technology Journal, 2017 -Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
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