The algebraic and geometric classification of nilpotent noncommutative Jordan algebras

Autor(es)

Jumaniyozov, Doston ^[1] ; Kaygorodov, Ivan ^[2] ; Khudoyberdiyev, Abror ^{[1, 3]}

Afiliação do(s) autor(es)

^[1] Natl Univ Uzbekistan, Tashkent - Uzbekistan

^[2] Fed Univ ABC, CMCC, Santo Andre, SP - Brazil

^[3] Acad Sci Uzbek, Inst Math, Tashkent - Uzbekistan

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 20, n. 11 NOV 2021.
• Citações Web of Science: 1

Resumo

We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only 18 non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of three rigid algebras and two one-parametric families of algebras. (AU)

• Processo FAPESP: 19/00192-3 - Classificação geométrica de álgebras não associativas
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 18/15712-0 - Álgebras e superálgebras conservativas
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Auxílio à Pesquisa - Regular