Lie Algebras over a field of positiv characteristic and their deformations

• Grant number: 13/12050-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: October 27, 2013 - October 26, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Pasha Zusmanovich
• Visiting researcher institution: Tallinn University of Technology (TUT),
• 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

We will receive new results on simple Lie algebras over a field of positive characteristic. In particularly, describe the deformations of classical Lie algebras of type G(2) and D(4). We hope that those results will give us possibilities to finish the classification of simple Lie algebras of toroidal rank two. (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)

GRISHKOV, ALEXANDER; ZUSMANOVICH, PASHA. Deformations of current Lie algebras. I. Small algebras in characteristic 2. Journal of Algebra, v. 473, p. 513-544, MAR 1 2017. (14/09310-5, 13/12050-2)

ZUSMANOVICH, PASHA. On the last question of Stefan Banach. EXPOSITIONES MATHEMATICAE, v. 34, n. 4, p. 454-466, 2016. (13/12050-2)