N-ary split strutures

• Grant number: 17/15437-6
• Support Opportunities: Scholarships abroad - Research
• Start date: December 21, 2017
• End date: May 20, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Kaygorodov
• Grantee: Ivan Kaygorodov
• Host Investigator: Antonio Jesus Calderón Martín
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Universidad de Cádiz, Puerto Real (UCA), Spain

Abstract

The project will be devoted to n-ary algebras. The main objects are Fillipov algebras (n-Lie) and Leibniz n-ary algebras. The typical questions in this line are the study of the structure of split n-ary algebras and the structure of algebras with a multiplicative and quasi-multiplicative base. (AU)

Scientific publications

(4)

(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)

ISMAILOV, NURLAN; KAYGORODOV, IVAN; VOLKOV, YURY. Degenerations of Leibniz and Anticommutative Algebras. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, v. 62, n. 3, p. 539-549, SEP 2019. (17/21429-6, 17/15437-6)

BARREIRO, ELISABETE; JESUS CALDERON, ANTONIO; KAYGORODOV, IVAN; MARIA SANCHEZ, JOSE. n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis. ALGEBRAS AND REPRESENTATION THEORY, v. 22, n. 6, p. 1371-1386, DEC 2019. (17/15437-6)

KAYGORODOV, IVAN; POPOV, YURY. SPLIT REGULAR HOM-LEIBNIZ COLOR 3-ALGEBRAS. Colloquium Mathematicum, v. 157, n. 2, p. 251-277, 2019. (16/16445-0, 17/15437-6)

JESUS CALDERON, ANTONIO; KAYGORODOV, IVAN; SARAIVA, PAULO. Decompositions of linear spaces induced by n-linear maps. LINEAR & MULTILINEAR ALGEBRA, v. 67, n. 6, p. 1250-1268, JUN 3 2019. (17/15437-6)