Generalized derivations of non associative algebras and superalgebras

• Grant number: 14/24519-8
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2015
• End date: February 28, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Kaygorodov
• Grantee: Ivan Kaygorodov
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Santo André , SP, Brazil
• City of the host institution: Santo André

Abstract

The project is dedicated by non-associative algebras and superalgebras.Principal objects are Jordan and Lie algebras and superalgebras and some their generalizations, derivations and generalized derivations.Typical question of project is a study of derivations and generalized derivations of simple and semisimple algebras and superalgebras.Also we will consider nilpotent algebras. (AU)

Scientific publications

(10)

(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; POPOV, YURY. Generalized derivations of (color) n-ary algebras. LINEAR & MULTILINEAR ALGEBRA, v. 64, n. 6, p. 1086-1106, JUN 2 2016. (14/24519-8)

KAYGORODOV, IVAN; VOLKOV, YURY. Conservative algebras of 2-dimensional algebras, II. COMMUNICATIONS IN ALGEBRA, v. 45, n. 8, p. 3413-3421, 2017. (14/24519-8, 14/19521-3)

KAYGORODOV, IVAN; POPOV, YURY; VOLKOV, YURY. Degenerations of binary Lie and nilpotent Malcev algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 11, p. 4928-4940, 2018. (14/24519-8, 16/16445-0, 14/19521-3)

BEITES, P. D.; KAYGORODOV, IVAN; POPOV, YURY. Generalized Derivations of Multiplicative n-Ary Hom- Color Algebras. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, v. 42, n. 1, p. 315-335, JAN 2019. (16/16445-0, 14/24519-8)

KAYGORODOV, IVAN; LOPATIN, ARTEM; POPOV, YURY. Jordan algebras admitting derivations with invertible values. COMMUNICATIONS IN ALGEBRA, v. 46, n. 1, p. 69-81, 2018. (14/24519-8, 16/16445-0, 16/00541-0)

KAYGORODOV, IVAN; POPOV, YU.. A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations. Journal of Algebra, v. 456, p. 323-347, JUN 15 2016. (14/24519-8)

KAYGORODOV, IVAN. On the Kantor product. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 16, n. 9, SEP 2017. (14/24519-8)

KAYGORODOV, IVAN; VOLKOV, YURY. The Variety of Two-dimensional Algebras Over an Algebraically Closed Field. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, v. 71, n. 4, p. 819-842, AUG 2019. (14/24519-8)

KAYGORODOV, IVAN; SHESTAKOV, IVAN; UMIRBAEV, UALBAI. Free generic Poisson fields and algebras. COMMUNICATIONS IN ALGEBRA, v. 46, n. 4, p. 1799-1812, 2018. (14/24519-8, 14/09310-5)

KAYGORODOV, IVAN. Algebras of Jordan brackets and generalized Poisson algebras. LINEAR & MULTILINEAR ALGEBRA, v. 65, n. 6, p. 1142-1157, 2017. (14/24519-8)