Generalized derivations of non associative algebras

• Grant number: 18/09299-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: August 01, 2019
• End date: August 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Kaygorodov
• Grantee: Ivan Kaygorodov
• Visiting researcher: Mykola Khrypchenko
• Visiting researcher institution: Universidade Federal de Santa Catarina (UFSC). Centro de Ciências Físicas e Matemáticas, Brazil
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The main objects are Lie algebras and Leibniz algebras, which are the main classes of non-associative algebras. The typical questions in this line deal with the study of general derivations of simple and semisimple algebras. (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)

KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; LOPES, SAMUEL A.. The algebraic and geometric classification of nilpotent anticommutative algebras. Journal of Pure and Applied Algebra, v. 224, n. 8, AUG 2020. (18/09299-2, 18/15712-0)

KAYGORODOV, IVAN; POPOV, YURY; POZHIDAEV, ALEXANDR. The universal conservative superalgebra. COMMUNICATIONS IN ALGEBRA, v. 47, n. 10, MAR 2019. (16/16445-0, 18/09299-2)

KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; POPOV, YURY. The algebraic and geometric classification of nilpotent terminal algebras. Journal of Pure and Applied Algebra, v. 225, n. 6, JUN 2021. (18/09299-2, 18/15712-0, 16/16445-0)