Results 161 to 170 of about 194 (182)

Nonlinear Lie triple derivations by local actions on triangular algebras

Journal of Algebra and Its Applications, 2021
Let [Formula: see text] be a triangular algebra over a commutative ring [Formula: see text]. In this paper, under some mild conditions on [Formula: see text], we prove that if [Formula: see text] is a nonlinear map satisfying [Formula: see text] for any [Formula: see text] with [Formula: see text].
openaire   +1 more source

Invariants in enveloping algebras under the action of Lie algebras of derivations

Journal of Mathematical Physics, 1979
An upper bound on the number of algebraically independent invariants in an enveloping algebra 𝒰 under the action of a Lie algebra G0 of derivations is obtained. We are able to determine the exact number of invariants for the case [G0,G0]=G0. This generalizes previous results about Casimir invariants.
Abellanas, L., Martinez Alonso, L.
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Characterization of (generalized) Lie derivations on $${\mathcal{J}}$$ -subspace lattice algebras by local action

Aequationes mathematicae, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On action of outer derivations on nilpotent ideals of Lie algebras

2019
Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent of nilpotency class less than p???1, where p=charF.
openaire   +1 more source

Partial actions on reductive Lie algebras

Communications in Algebra, 2022
JOSÉ L Vilca Rodríguez
exaly  

O-Operators on Lie ∞-algebras with respect to Lie ∞-actions

Communications in Algebra, 2022
Raquel Caseiro
exaly  

Compatible actions of Lie algebras

Communications in Algebra, 2020
Davide Di Micco
exaly  

Smooth actions of Lie groups and Lie algebras on manifolds

Journal of Fixed Point Theory and Applications, 2011
Morris W Hirsch
exaly  

Characterization of nonlinear Lie type derivations on von Neumann algebras by local action

Communications in Algebra
Changjing Li, Jingyi Zhang, Yueliang Liang, Lin Chen   +3 more
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Representations of Hom-Lie Algebras

Algebras and Representation Theory, 2011
Yunhe Sheng, Sheng Yunhe
exaly