The algebraic and geometric classification of Zinbiel algebras

Autor: Alvarez, María Alejandra, Júnior, Renato Fehlberg, Kaygorodov, Ivan
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1016/j.jpaa.2022.107106
Popis: 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.
Comment: 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
Databáze: arXiv