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Images of multilinear polynomials on UT_2 and UT_3 with involutions

Grant number: 22/05256-2
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): August 01, 2022
Effective date (End): June 30, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Plamen Emilov Kochloukov
Grantee:Pedro Souza Fagundes
Supervisor: Matej Bresar
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: University of Ljubljana (UL), Slovenia  
Associated to the scholarship:19/16994-1 - Algebras that are sums of two PI subalgebras, BP.DR

Abstract

The Lvov-Kaplansky conjecture states that the image of a multilinear polynomial on the full matrix algebra is a vector subspace. The purpose of this research project is to study a variation of the aforementioned conjecture in the context of multilinear polynomials on the involution algebras UT_2 and UT_3. (AU)

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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FAGUNDES, PEDRO; KOSHLUKOV, PLAMEN. On sums of gr-PI algebras. Linear Algebra and its Applications, v. 677, p. 21-pg., . (22/05256-2, 19/16994-1, 18/23690-6)

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