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Simple finite-dimensional left-symmetric (super)algebras

Grant number: 18/05372-7
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: November 01, 2018 - March 31, 2019
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
Associated research grant:14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The simple finite-dimensional left-symmetric (super)algebras with an idempotent over an algebraically closed field of characteristic 0 are planned to be classfied. The results of the project can be used in other studies of superalgebras, in physics, and in geometry. (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)
POZHIDAEV, A. P.; SHESTAKOV, I. P.. ON THE RIGHT-SYMMETRIC ALGEBRAS WITH A UNITAL MATRIX SUBALGEBRA. SIBERIAN MATHEMATICAL JOURNAL, v. 62, n. 1, p. 138-147, . (18/23690-6, 18/05372-7)
POZHIDAEV, A. P.; SHESTAKOV, I. P.. Simple Right-Symmetric (1,1)-Superalgebras. Algebra and Logic, v. 60, n. 2, . (18/23690-6, 18/05372-7)

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