Rota-Baxter type operators on group algebras of positive characteristic

• Grant number: 22/15136-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: May 31, 2023
• End date: June 27, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Viktor Bodi
• Visiting researcher institution: United Arab Emirates University (UAEU),
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Let A = FG be the group algebra of a finite group G over a field F. Our aim is investigate the properties of Rota-type operators on the modular group algebra FG, i.e. algebras in which the characteristic of the ground field F divides the order of the group G. Of particular interest is the case when the characteristic of F is two. (AU)