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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


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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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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