Graded polynomial identities and identity with trace, and invariant theory
BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
| Grant number: | 23/04011-9 |
| Support Opportunities: | Regular Research Grants |
| Start date: | August 01, 2023 |
| End date: | July 31, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Claudemir Fideles Bezerra Júnior |
| Grantee: | Claudemir Fideles Bezerra Júnior |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated researchers: | Aline Vilela Andrade ; Charles Aparecido de Almeida ; Felipe Yukihide Yasumura ; Lucio Centrone ; Plamen Emilov Kochloukov |
| Associated scholarship(s): | 25/04211-3 - Algebra Introduction - An Approach via Module Theory, BP.IC |
Abstract
This research project aims to obtain financial support for carrying out technical missions and support materials that will make it possible to carry out and disseminate research under my responsibility that will be carried out at IMECC-Unicamp over the next two years. Our research focuses on the algebra area, more specifically we are interested in a better understanding of the following problem: ``What can you say about the structure of an algebra knowing that it satisfies a polynomial identity?''. Thus, the main goal of this research project will be to study the problem of correctly determining the subspaces obtained by an analog of Kaplansky's conjecture in a variety of algebras far beyond of associative and understanding the geometry of algebras equipped with special conditions. (AU)
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