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Mathematics > Rings and Algebras

arXiv:2206.00315 (math)
[Submitted on 1 Jun 2022]

Title:The algebraic and geometric classification of Zinbiel algebras

Authors: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.
Comments: arXiv admin note: substantial text overlap with arXiv:2205.00444. substantial text overlap with arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2004.03598
Subjects: Rings and Algebras (math.RA)
Cite as: arXiv:2206.00315 [math.RA]
  (or arXiv:2206.00315v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.2206.00315
Related DOI: https://doi.org/10.1016/j.jpaa.2022.107106

Submission history

From: Ivan Kaygorodov [view email]
[v1] Wed, 1 Jun 2022 08:32:26 UTC (35 KB)
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