Results 141 to 150 of about 168 (163)

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.
openaire   +1 more source

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.
openaire   +1 more source

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 Luis Vilca Rodríguez
exaly  

O-Operators on Lie ∞-Algebras With Respect to Lie ∞-Actions

Communications in Algebra, 2022
Raquel Susana Giraldes Caseiro
exaly  

Differential Polynomial Identities of Upper Triangular Matrices Under the Action of the Two-Dimensional Metabelian Lie Algebra

Algebras and Representation Theory, 2022
Vincenzo Nardozza, Onofrio M di Vincenzo
exaly  

Actions of Monoidal Categories and Representations of Cartan Type Lie Algebras

Journal of the Institute of Mathematics of Jussieu, 2023
Yufeng Pei, Rong Tang, Yun-He Sheng
exaly  

Compatible Actions of Lie Algebras

Communications in Algebra, 2020
Davide di Micco
exaly  

On Lie Algebra Actions

Discrete and Continuous Dynamical Systems - Series S, 2020
Jędrzej Śniatycki
exaly