Simple finite-dimensional noncommutative Jordan superalgebras

• Grant number: 14/13271-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: December 05, 2014
• End date: April 04, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Ivan Chestakov
• Grantee: Ivan Chestakov
• Visiting researcher: Alexandr Pozhidaev
• Visiting researcher institution: Siberian Branch of the Russian Academy of Sciences (SB RAS), Russia
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The simple finite-dimensional noncommutative Jordan superalgebras of arbitrary characteristic will be studied. As a corollary, we plan to describe Poisson brackets on the simple finite-dimensional Jordan superalgebras. The results of the project can be used in other studies of superalgebras and in Physics. (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)

POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra, v. 223, n. 6, p. 2320-2344, JUN 2019. (14/13271-5, 14/09310-5)