Images of polynomials on algebras

• Grant number: 17/16864-5
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: February 01, 2018
• End date: July 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Thiago Castilho de Mello
• Grantee: Pedro Souza Fagundes
• Supervisor: Mikhail Chebotar
• 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
• Institution abroad: Kent State University, United States
• Associated to the scholarship: 16/09496-7 - The Lvov-Kaplansky conjecture, BP.MS

Abstract

In this research project, we aim to study the image of multilinear polynomials on some subalgebras of matrix algebras, such as the algebra of upper triangular matrices and other related problems.

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 S.. The images of multilinear polynomials on strictly upper triangular matrices. Linear Algebra and its Applications, v. 563, p. 287-301, FEB 15 2019. (16/09496-7, 17/16864-5)