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Non-associative Lie theory

Grant number: 12/22537-3
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: February 01, 2013 - 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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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, . (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, . (10/50347-9, 12/22537-3, 12/21938-4)

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