Non associative algebras and loops

• Grant number: 23/06058-2
• Support Opportunities: Scholarships abroad - Research
• Start date: August 01, 2023
• End date: January 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Host Investigator: Liudmila Sabinina
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Universidad Autónoma del Estado de Morelos (UAEM), Mexico

Abstract

During this period we intend to work on the following topics: 1. Simple Lie algebras over a field of characteristic 2. 2. Commutative Moufang Loops. 3. Code loops. 4. Steiner loops and finite geometries. 5. The finite exponent loop growth problem. 6. Malcev algebras and Moufang loopsanalytics. 7. Quasivariety of loops. As a main result of the visit, we hope to submit at least 3 articles, in collaboration with researchers from Mexico and visitors to Mexico during this period. (AU)