The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras

In this paper, we develop a method to obtain the algebraic classification of compatible pre-Lie algebras from the classification of pre-Lie algebras of the same dimension. We use this method to obtain the algebraic classification of complex 2-dimensional compatible pre-Lie algebras. As a byproduct,...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Authors: Abdelwahab, Hani, Kaygorodov, Ivan, Makhlouf, Abdenacer
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212785
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras. Hani Abdelwahab, Ivan Kaygorodov and Abdenacer Makhlouf. SIGMA 20 (2024), 107, 20 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine