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zbMATH Open
Article . 2024
Data sources: zbMATH Open
Journal of Lie Theory
Article . 2024 . Peer-reviewed
Data sources: Crossref
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2-Local Derivations on the Centerless Ovsienko-Roger Algebra

2-local derivations on the centerless Ovsienko-Roger algebra
Authors: Liu, Yan; Ma, Yao; Chen, Liangyun;

2-Local Derivations on the Centerless Ovsienko-Roger Algebra

Abstract

The centerless Ovsienko-Roger algebra \(\mathfrak{L}_\lambda\) is an infinite-dimensional Lie algebra, which includes some important Lie algebras as special cases. For example, \(\mathfrak{L}_0\) is the centerless twisted Heisenberg-Virasoro algebra and \(\mathfrak{L}_1\) is the centerless \(W\)-algebra \(W(2,2)\). The authors studied 2-local derivations on the centerless Ovsienko-Roger algebra \(\mathfrak{L}_\lambda\). They proved that every 2-local derivation on \(\mathfrak{L}_\lambda\) is a derivation for \(\lambda \in \mathbb{C} \setminus \{0, 1, 2\}\).

Related Organizations
Keywords

2-local derivation, centerless Ovsienko-Roger algebra, Automorphisms, derivations, other operators for Lie algebras and super algebras, Infinite-dimensional Lie (super)algebras, derivation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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