Moufang Loops and related algebras

• Grant number: 18/11292-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 01, 2018
• End date: August 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Henrique Guzzo Junior
• Grantee: Henrique Guzzo Junior
• Visiting researcher: Marina Rasskazova
• Visiting researcher institution: Omsk State Technical University (OmSTU) , Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• City of the host institution: São Paulo
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

In this period we will work on: 1) Commutative Moufang loops and alternative algebras. 2) Super Binary-Lie algebras. 3) Malcev algebras and its alternative envelops. 4) Moufang theorem and its generalization. 5) Groups of automorphisms of automorphic commutative loops. 6) Groups of automorphisms of free metabilian algebras from the varietyJ(x; y; zt) = 0:7) Simple Lie algebras over an eld of characteristic two. (AU)

Scientific publications

(9)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

CARRILLO-CATALAN, RAMIRO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. The Moufang theorem for all analytic loops from a non-Moufang variety of loops. COMMUNICATIONS IN ALGEBRA, OCT 2019. (15/07245-4, 18/11292-6)

GARZA, OSCAR GUAJARDO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0. ALGEBRA COLLOQUIUM, v. 28, n. 1, p. 87-90, MAR 2021. (15/07245-4, 18/11292-6)

GRISHKOV, ALEXANDER; RASSKAZOVA, MARINA; SABININA, LIUDMILA; SALIM, MOHAMED. On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops. Journal of Algebra, v. 575, p. 67-77, JUN 1 2021. (19/24418-0, 18/23690-6, 18/11292-6)

GRISHKOV, ALEXANDER; GUZZO, HENRIQUE; RASSKAZOVA, MARINA; ZUSMANOVICH, PASHA. On simple 15-dimensional Lie algebras in characteristic 2. Journal of Algebra, v. 593, p. 24-pg., 2022-03-01. (18/11292-6, 18/23690-6)

CARRILLO-CATALAN, RAMIRO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. The Moufang theorem for all analytic loops from a non-Moufang variety of loops. COMMUNICATIONS IN ALGEBRA, v. 48, n. 2, p. 6-pg., 2019-10-01. (15/07245-4, 18/11292-6)

GARZA, OSCAR GUAJARDO; RASSKAZOVA, MARINA; SABININA, LIUDMILA. Levi and Malcev Theorems for Finite-Dimensional Algebras from the Variety Defined by the Identities x2 = J( x,y, zu) =0. ALGEBRA COLLOQUIUM, v. 28, n. 1, p. 4-pg., 2021-03-01. (15/07245-4, 18/11292-6)

GRISHKOV, A. N.; RASSKAZOVA, M. N.; SABININA, L. L.. An Isotopically Invariant Property of Automorphic Moufang Loops. Algebra and Logic, v. 58, n. 4, p. 306-312, SEP 2019. (15/07245-4, 18/11292-6)

RASSKAZOVA, MARINA. Non-Moufang variety of Steiner loops satisfying Moufang's theorem. COMMUNICATIONS IN ALGEBRA, v. 49, n. 5, DEC 2020. (18/11292-6)

GRISHKOV, A. N.; SHESTAKOV, I. P.; RASSKAZOVA, M. N.. New Examples of Binary Lie Superalgebras and Algebras. Algebra and Logic, v. 60, n. 6, p. 9-pg., 2022-05-23. (18/23690-6, 18/11292-6)