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Central extensions of 3-dimensional Zinbiel algebras
Ricerche di Matematica ( IF 1.1 ) Pub Date : 2021-06-16 , DOI: 10.1007/s11587-021-00604-1
Ivan Kaygorodov , María Alejandra Alvarez , Thiago Castilho de Mello

We describe all central extensions of all 3-dimensional nontrivial complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional nontrivial complex Zinbiel algebras and a full classification of 5-dimensional nontrivial complex Zinbiel algebras with 2-dimensional annihilator, which gives the principal step in the algebraic classification of 5-dimensional Zinbiel algebras.



中文翻译:

3 维 Zinbiel 代数的中心扩展

我们描述了所有 3 维非平凡复 Zinbiel 代数的所有中心扩展。作为推论,我们有 4 维非平凡复 Zinbiel 代数的完整分类和具有 2 维湮灭器的 5 维非平凡复 Zinbiel 代数的完整分类,这给出了 5 维 Zinbiel 代数代数分类的主要步骤.

更新日期:2021-06-17
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