The algebraic and geometric classification of Zinbiel algebras

Published 1 Jun 2022 in math.RA | (2206.00315v1)

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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