A class of Lie racks associated to symmetric Leibniz algebras-Reference-Cited by-同舟云学术

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A class of Lie racks associated to symmetric Leibniz algebras

Published:2021-08-16 Issue: Volume: Page:2250230
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Abchir Hamid¹,Abid Fatima-ezzahrae²,Boucetta Mohamed²

Affiliation:

1. Hassan II University, EST, B. P. 8012, 20100 Casablanca, Morocco

2. Cadi Ayyad University, FST, BP 549 Marrakech, Morocco

Abstract

We classify symmetric Leibniz algebras in dimensions 3 and 4 and we determine all associated Lie racks. Some of such Lie racks give rise to nontrivial topological quandles. We study some algebraic properties of these quandles and we give a necessary and sufficient condition for them to be quasi-trivial.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498822502309

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classification of Five-Dimensional Symmetric Leibniz Algebras;Bulletin of the Iranian Mathematical Society;2024-04-22

2. Classification of symmetric Leibniz algebras associated by naturally graded filiform lie algebras;NOVEL TRENDS IN RHEOLOGY IX;2023

3. The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras;Journal of Algebra;2021-12

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