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Classical theorems in nonassociative finite dimensional superalgebras

Grant number: 22/08922-3
Support Opportunities:Regular Research Grants
Duration: January 01, 2023 - December 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Convênio/Acordo: Universidad de Antioquia (UdeA)
Principal Investigator:Ivan Chestakov
Grantee:Ivan Chestakov
Principal researcher abroad: Faber Alberto Gomez Gonzalez
Institution abroad: Universidad de Antioquia (UdeA), Colombia
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated researchers: Raúl Eduardo Velásquez Ossa

Abstract

The project is dedicated to the further development of the structure theory of finite dimensional alternative and Jordan superalgebras. More exactly, we plan to verify whether the Wedderburn Principal Theorem (WPT) is true in the general case, when the solvable radical has nonzero multiplication, and to study the veracity of the Malcev theorem on the conjugacy of semisimple subalgebras in case of superalgebras. (AU)

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