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arXiv · 2206.00315

The algebraic and geometric classification of Zinbiel algebras

María Alejandra Alvarez·Renato Fehlberg Júnior·Ivan Kaygorodov
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Abstract

This paper is devoted to the complete algebraic and geometric classification of complex $5$-dimensional Zinbiel algebras. In particular, we proved that the variety of complex $5$-dimensional Zinbiel algebras has dimension $24$, it is defined by $16$ irreducible components and it has $11$ rigid algebras.

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María Alejandra Alvarez, Renato Fehlberg Júnior, Ivan Kaygorodov. 2022-06-01. The algebraic and geometric classification of Zinbiel algebras. https://doi.org/10.1016/j.jpaa.2022.107106

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