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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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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., . (19/00192-3, 18/15712-0)
CAMACHO, LUISA M.; KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. Central extensions of filiform Zinbiel algebras. LINEAR & MULTILINEAR ALGEBRA, . (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, . (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, . (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., . (18/15712-0, 18/12197-7, 19/00192-3)