Representations of artin algebras and related topics

• Grant number: 07/58146-0
• Support Opportunities: Research Projects - Thematic Grants
• Start date: April 01, 2008
• End date: March 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo do Nascimento Marcos
• Grantee: Eduardo do Nascimento Marcos
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Hector Alfredo Merklen Goldschmidt

Abstract

The study of representations of algebras has its beginning on the study o problems of vector spaces. We could say that the first theorem in this direction is this one which says that every vector space over a field has a basis. Under this point of view this theorem says that the modulo category over a field is very simples since it has only one indecomposable object. The main objective in the area is studying the category of artin algebra. This is done from several standpoints. Generally the most stressed objective is the classification of the indecomposable modules; nevertheless this is not the only one. Our group has shown interests over various aspects of the theory. Some of them are commented below. (AU)