Representation dimension: overview and recent results

The representation dimension of an algebra was introduced by Maurice Auslander in the 70's of the last century with the aim of measuring how far an algebra is to be representation-finite. Recall that an algebrFlávio Coelhoa A is representation finite provided there are only finitely many non-isomorphic indecomposable finitely generated A-modules. However, more than 25 years passed before it was considered again in the mainframe of the Representation Theory of Algebras. We shall give a very quick survey on the development of such notion and discuss some recent results in a joint work with I. Assem and H. Wagner.

Date and Venue

Start Date
Venue
DM-FCUP Sala 0.30

Speaker

Flávio Ulhoa Coelho

Speaker's Institution

Instituto de Matemática e Estatística da Universidade de São Paulo

Files

Area

Algebra, Combinatorics and Number Theory