The geometric classification of non-assocociative algebras

• Grant number: 19/00192-3
• Support type: Research Grants - Visiting Researcher Grant - International
• Duration: September 26, 2019 - 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
• Home 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

(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. Central extensions of filiform Zinbiel algebras. LINEAR & MULTILINEAR ALGEBRA, MAY 2020. Web of Science Citations: 0.

CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. One-generated nilpotent Novikov algebras. LINEAR & MULTILINEAR ALGEBRA, FEB 2020. Web of Science Citations: 1.