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arXiv · 2009.00988

Central extensions of filiform Zinbiel algebras

Luisa M. Camacho·Iqboljon Karimjanov·Ivan Kaygorodov·Abror Khudoyberdiyev
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Abstract

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.

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Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov, Abror Khudoyberdiyev. 2020-09-01. Central extensions of filiform Zinbiel algebras. https://doi.org/10.1080/03081087.2020.1764903

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