Derivations, actions of lie algebras

Results 141 to 150 of about 166 (161)

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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
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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.
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Compatible actions of Lie algebras

Communications in Algebra, 2020
Davide Di Micco
exaly

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

Communications in Algebra, 2022
Raquel Caseiro
exaly

Partial actions on reductive Lie algebras

Communications in Algebra, 2022
exaly

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