The geometric classification of non-assocociative algebras

• Grant number: 19/00192-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 26, 2019
• End date: December 08, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Kaygorodov
• Grantee: Ivan Kaygorodov
• Visiting researcher: Abror Khudoyberdiyev
• Visiting researcher institution: National University of Uzbekistan (NUU), Uzbekistan
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The project is dedicated by the study of Leibniz and Novikov algebras. The main goal is to find algebraic and geometric classifications of low-dimensional Novikov algebras and study irreducible components and rigid algebras in varieties of Novikov and Leibniz algebras of dimension n. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. One-generated nilpotent Novikov algebras. LINEAR & MULTILINEAR ALGEBRA, v. 70, n. 2, p. 35-pg., 2020-02-11. (19/00192-3, 18/15712-0)

CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. Central extensions of filiform Zinbiel algebras. LINEAR & MULTILINEAR ALGEBRA, MAY 2020. (19/00192-3, 18/15712-0, 18/12197-7)

CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. ne-generated nilpotent Novikov algebra. LINEAR & MULTILINEAR ALGEBRA, v. 70, n. 2, FEB 2020. (19/00192-3, 18/15712-0)

JUMANIYOZOV, DOSTON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. The algebraic and geometric classification of nilpotent noncommutative Jordan algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 11, NOV 2021. (19/00192-3, 18/15712-0)

CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. Central extensions of filiform Zinbiel algebras. LINEAR & MULTILINEAR ALGEBRA, v. 70, n. 8, p. 17-pg., 2020-05-09. (18/15712-0, 18/12197-7, 19/00192-3)