Classical theorems in nonassociative finite dimensional superalgebras

• Grant number: 22/08922-3
• Support Opportunities: Regular Research Grants
• Start date: January 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Agreement: 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)