| Grant number: | 21/14716-4 |
| Support Opportunities: | Regular Research Grants |
| Start date: | March 01, 2022 |
| End date: | February 29, 2024 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Iryna Kashuba |
| Grantee: | Iryna Kashuba |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Abstract
This is a research project in the area of Algebra. The project is divided into three parts. The first part is dedicated to the study of representations of Jordan algebras and superalgebras.The second part of the project concerns the investigation of the free Jordan algebra J(n) with n generators, more exactly the structure of the homogeneous component J(n)d of degree d as GL(d)-module. In particular we have conjecture about the dimension of J(n)d (the problem that is open for n e 3 from the 1960's). The aim of the third part is to study the variety of complex Jordan algebras of dimension n using the techniques of geometric invariant theory. (AU)
| Articles published in Agência FAPESP Newsletter about the research grant: |
| More itemsLess items |
| TITULO |
| Articles published in other media outlets ( ): |
| More itemsLess items |
| VEICULO: TITULO (DATA) |
| VEICULO: TITULO (DATA) |