Degenerations of Leibniz and Anticommutative Algebras

Author(s)

Ismailov, Nurlan ^{[1, 2]} ; Kaygorodov, Ivan ^[3] ; Volkov, Yury ^[4]

Affiliation

^[1] Univ Sao Paulo, IME, Sao Paulo - Brazil

^[2] Inst Math & Math Modeling, Alma Ata - Kazakhstan

^[3] Univ Fed ABC CMCC, Santo Andre - Brazil

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

• Document type: Journal article
• Source: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES; v. 62, n. 3, p. 539-549, SEP 2019.
• Web of Science Citations: 4

Abstract

We describe all degenerations of three-dimensional anticommutative algebras Ucom(3) and of three-dimensional Leibniz algebras Leib(3) over C. In particular, we describe all irreducible components and rigid algebras in the corresponding varieties. (AU)

• FAPESP's process: 17/21429-6 - The structure problems of Zinbiel-Lie and Novikov-Jordan algebras
• Grantee: Nurlan Ismailov
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 17/15437-6 - N-ary split strutures
• Grantee: Ivan Kaygorodov
• Support Opportunities: Scholarships abroad - Research