Covering techniques in the study of degrees of irreducible morphisms

• Grant number: 18/18123-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2019
• End date: December 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Flavio Ulhoa Coelho
• Grantee: Viktor Chust Bugno Pires de Almeida
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The area of representation theory of algebras have been very active in the last decades, mainly because ot the introduction of the concecpt of almost split sequences and irreducible morphisms by M. Auslander and I. Reiten in the 1970's. In 1992, S. Liu introduced the notion of degrees of irreducible morphisms, concept which has returned to the center of the theory from a series of articles by C. Chaio, F. U. Coelho, P. Le Meur and S. Trepode dealing mainly with the question of composite of irreducible morphsims. The main aim of this project is to focus in this question using the covering techniques of quivers. (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)

CHUST, VIKTOR; COELHO, FLAVIO U.. On the correspondence between path algebras and generalized path algebras. COMMUNICATIONS IN ALGEBRA, OCT 2021. (18/18123-5)

CHUST, VIKTOR; COELHO, FLAVIO U.. Representations of generalized bound path algebras. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 22-pg., 2023-05-15. (18/18123-5, 20/13925-6, 22/02403-4)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

ALMEIDA, Viktor Chust Bugno Pires de. Generalized bound path algebras and their representations. 2020. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.