The Algebraic and Geometric Classification of Nilpotent Right Commutative Algebras

Autor(es)

Adashev, Jobir ^[1] ; Kaygorodov, Ivan ^[2] ; Khudoyberdiyev, Abror ^{[3, 1]} ; Sattarov, Aloberdi ^[1]

Afiliação do(s) autor(es)

^[1] Acad Sci Uzbek, Inst Math, Tashkent - Uzbekistan

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

^[3] Natl Univ Uzbekistan, Tashkent - Uzbekistan

• Tipo de documento: Artigo Científico
• Fonte: Results in Mathematics; v. 76, n. 1 MAR 2021.
• Citações Web of Science: 0

Resumo

This paper is devoted to the complete algebraic and geometric classification of complex 4-dimensional nilpotent right commutative algebras. The corresponding geometric variety has dimension 15 and decomposes into 5 irreducible components determined by the Zariski closures of four one-parameter families of algebras and a two-parameter family of algebras (see Theorem B). In particular, there are no rigid complex 4-dimensional nilpotent right commutative algebras. (AU)

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