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Rota-Baxter type operators on group algebras of positive characteristic

Grant number: 22/15136-4
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: May 31, 2023 - 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)

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