Conservative algebras and superalgebras

• Grant number: 18/15712-0
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2018
• End date: July 31, 2020
• 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). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The project will be dedicated to non-associative algebras. The main objects are conservative algebras, Lie algebras, Leibniz algebras, and other classes of non-associative algebras. The typical questions of this line are the study of the structure of non-associative algebras and the structure of non-associative algebras. (AU)

Scientific publications

(19)

(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; PAEZ-GUILLAN, PILAR; VORONIN, VASILY. The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. ALGEBRAS AND REPRESENTATION THEORY, JAN 2020. (18/15712-0)

KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. The algebraic classification of nilpotent CD-algebras. LINEAR & MULTILINEAR ALGEBRA, DEC 2020. (18/15712-0, 18/00726-5)

CAMACHO, LUISA M.; KAYGORODOV, IVAN; OMIROV, BAKHROM; SOLIJANOVA, GULKHAYO. Some cohomologically rigid solvable Leibniz algebras. Journal of Algebra, v. 560, p. 502-520, OCT 15 2020. (18/15712-0, 18/12196-0, 18/12197-7)

KAYGORODOV, IVAN; RAKHIMOV, ISAMIDDIN; HUSAIN, SH K. SAID. The algebraic classification of nilpotent associative commutative algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 19, n. 11, NOV 2020. (18/15712-0)

KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. The geometric classification of nilpotent CD-algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 11, NOV 2021. (18/15712-0, 18/00726-5)

OUARIDI, AMIR FERNANDEZ; KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA; VOLKOV, YURY. Degenerations of nilpotent algebras. Journal of Pure and Applied Algebra, v. 226, n. 3, MAR 2022. (18/15712-0)

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)

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; LOPES, SAMUEL A.; POPOV, YURY. Degenerations of nilpotent associative commutative algebras. COMMUNICATIONS IN ALGEBRA, v. 48, n. 4, NOV 2019. (18/15712-0, 16/16445-0)

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)

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)

GORSHKOV, ILYA; KAYGORODOV, IVAN; POPOV, YURY. Degenerations of Jordan Algebras and ``Marginal{''} Algebras. ALGEBRA COLLOQUIUM, v. 28, n. 02, p. 281-294, JUN 2021. (18/15712-0, 16/16445-0)

KARIMJANOV, IQBOLJON; KAYGORODOV, IVAN; KHUDOYBERDIYEV, ABROR. The algebraic and geometric classification of nilpotent Novikov algebras. JOURNAL OF GEOMETRY AND PHYSICS, v. 143, p. 11-21, SEP 2019. (18/15712-0)

ISMAILOV, NURLAN; KAYGORODOV, IVAN; MASHUROV, FARUKH. The Algebraic and Geometric Classification of Nilpotent Assosymmetric Algebras. ALGEBRAS AND REPRESENTATION THEORY, v. 24, n. 1, FEB 2020. (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)

KAYGORODOV, IVAN; KHRYPCHENKO, MYKOLA. The algebraic classification of nilpotent CD-algebras. LINEAR & MULTILINEAR ALGEBRA, v. 70, n. 19, p. 47-pg., 2020-12-05. (18/00726-5, 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)

KAYGORODOV, IVAN; PAEZ-GUILLAN, PILAR; VORONIN, VASILY. The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. ALGEBRAS AND REPRESENTATION THEORY, v. 23, n. 6, p. 17-pg., 2020-01-04. (18/15712-0)