The algebraic and geometric classification of Zinbiel algebras

Keywords: geometric classification, Nilpotent algebra, Algebraic classification, Zinbiel algebra, Dual Leibniz algebra

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.

Más información

Título según WOS: The algebraic and geometric classification of Zinbiel algebras
Título según SCOPUS: The algebraic and geometric classification of Zinbiel algebras
Título de la Revista: Journal of Pure and Applied Algebra
Volumen: 226
Número: 11
Editorial: Elsevier B.V.
Fecha de publicación: 2022
Idioma: English
URL: https://doi.org/10.1016/j.jpaa.2022.107106
DOI:

10.1016/j.jpaa.2022.107106

Notas: ISI, SCOPUS - ISI