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Central extensions of 3-dimensional Zinbiel algebras

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 Added by Ivan Kaygorodov
 Publication date 2021
  fields
and research's language is English




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



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