Non-associative Lie theory

• Grant number: 12/22537-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 01, 2013
• End date: April 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: José Maria Pérez Izquierdo
• Visiting researcher institution: Universidad de La Rioja (UR), Spain
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

The first objective of the project is the development of the representation theory of new varieties of loops. Our goal is to study modules for different varieties of loops and bialgebras. The second objective is the study of restricted universal enveloping algebras in prime characteristic. Our goal is to find realizations of these algebras and to study them for Lie triple systems, Bol algebras, etc. (AU)

Scientific publications

(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)

MOSTOVOY, J.; PEREZ-IZQUIERDO, J. M.; SHESTAKOV, I. P.. Hopf algebras in non-associative Lie theory. BULLETIN OF MATHEMATICAL SCIENCES, v. 4, n. 1, p. 129-173, APR 2014. (10/50347-9, 12/22537-3, 12/21938-4)

MOSTOVOY, J.; PEREZ-IZQUIERDO, J. M.; SHESTAKOV, I. P.. Nilpotent Sabinin algebras. Journal of Algebra, v. 419, p. 95-123, DEC 1 2014. (10/50347-9, 12/22537-3, 12/21938-4)