论文标题
丝状Zinbiel代数的中央扩展
Central extensions of filiform Zinbiel algebras
论文作者
论文摘要
在本文中，我们描述了所有复杂的无效和丝状Zinbiel代数的中心扩展（直至同构）。事实证明，$ n $二维的无效Zinbiel代数的每个非分类中心扩展都是$（n+1）$ - 尺寸为null-filiform-filiform Zinbiel代数的同构。此外，我们获得了所有成对的非同构准法式Zinbiel代数。
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an $n$-dimensional null-filiform Zinbiel algebra is isomorphic to an $(n+1)$-dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras.
