Images of multilinear polynomials on UT_2 and UT_3 with involutions

• Grant number: 22/05256-2
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: August 01, 2022
• End date: 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
• Institution abroad: 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)

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., 2023-08-28. (22/05256-2, 19/16994-1, 18/23690-6)