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The algebraic and geometric classification of nilpotent right alternative algebras

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Autor(es):
Ismailov, Nurlan ; Kaygorodov, Ivan ; Mustafa, Manat
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PERIODICA MATHEMATICA HUNGARICA; v. 84, n. 1, p. 13-pg., 2021-06-14.
Resumo

We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension 13 and it is determined by the Zariski closure of 4 rigid algebras and one one-parametric family of algebras. (AU)

Processo FAPESP: 19/03655-4 - Estruturas graduadas
Beneficiário:Ivan Kaygorodov
Modalidade de apoio: Bolsas no Exterior - Pesquisa