The geometric classification of 2-step nilpotent algebras and applications

Autor(es)

Ignatyev, Mikhail ^[1] ; Kaygorodov, Ivan ^{[2, 3]} ; Popov, Yury ^[4]

Afiliação do(s) autor(es)

^[1] Samara Natl Res Univ, Samara - Russia

^[2] Moscow Ctr Fundamental & Appl Math, Moscow - Russia

^[3] Univ Beira Interior, Ctr Matemat & Aplicacoes, Covilha - Portugal

^[4] St Petersburg State Univ, St Petersburg - Russia

• Tipo de documento: Artigo Científico
• Fonte: REVISTA MATEMATICA COMPLUTENSE; OCT 2021.
• Citações Web of Science: 0

Resumo

We give a geometric classification of complex n-dimensional 2-step nilpotent (all, commutative and anticommutative) algebras. Namely, it has been found the number of irreducible components and their dimensions. As a corollary, we have a geometric classification of complex 5-dimensional nilpotent associative algebras. In particular, it has been proven that this variety has 11 irreducible components and 7 rigid algebras. (AU)

• Processo FAPESP: 19/00563-1 - Álgebras envolventes de álgebras de Leibniz nilpotentes
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional