Images of polynomials on superalgebras and commutators on algebras

• Grant number: 24/19129-8
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2025
• End date: January 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Pedro Souza Fagundes
• Grantee: Pedro Souza Fagundes
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated researchers: Thiago Castilho de Mello

Abstract

This research project aims to study images of polynomials on certain algebras and related topics.The first two parts of the project aims to study the images of multilinear polynomials on the algebra of upper triangular matrices, both in the cases of a Z_2-grading and superinvolutions. The third goal concerns to search for a description of commutators on certain finite-dimensional associative algebras. (AU)