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Axioms
Article . 2026 . Peer-reviewed
License: CC BY
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arXiv.org e-Print Archive
Preprint . 2023
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https://dx.doi.org/10.48550/ar...
Article . 2023
License: CC BY
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Article . 2025
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Nijenhuis Operators on 2D Pre-Lie Algebras and 3D Associative Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Jan 2026Embargo end date: 01 Aug 2023 English Publisher:MDPI AGJournal:Axioms, volume 15, page 80 (eissn: 2075-1680, Copyright policy )Funded by:FCT | D4
Authors: Xiaoguang Zou; Xiang Gao; Chuangchuang Kang; Jiafeng Lü;

doi: 10.3390/axioms15010080 , 10.48550/arxiv.2308.12121

arXiv: 2308.12121

Nijenhuis Operators on 2D Pre-Lie Algebras and 3D Associative Algebras

Abstract

In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operators, we obtain solutions to the classical Yang-Baxter equation on the corresponding sub-adjacent Lie algebras.

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Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), 17B60 16T25 17B81, Mathematical Physics

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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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