| Grant number: | 16/09496-7 |
| Support Opportunities: | Scholarships in Brazil - Master |
| Start date: | September 01, 2016 |
| End date: | January 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal Investigator: | Thiago Castilho de Mello |
| Grantee: | Pedro Souza Fagundes |
| Host Institution: | Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil |
| Associated research grant: | 14/09310-5 - Algebraic structures and their representations, AP.TEM |
| Associated scholarship(s): | 17/16864-5 - Images of polynomials on algebras, BE.EP.MS |
Abstract The Lvov-Kaplansky conjecture states that the image of the matrix algebra $M_n(F)$, by a multilinear polynomial is a vector subspace of $M_n(F)$. There are many results in the literature, specially in the last 4 years, with partial answers for such problem and also for generalizations for some non-associative matrix algebras. The aim of this project is a detailed study of such results, analizing the differences of each case and highlighting the difficulties to generalize these results and to obtain a solution for the conjecture. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
| More itemsLess items | |
| TITULO | |
| Articles published in other media outlets ( ): | |
| More itemsLess items | |
| VEICULO: TITULO (DATA) | |
| VEICULO: TITULO (DATA) | |