Laura algebras

IBRAHIM ASSEM; MARCELO LANZILOTTA; MARIA JULIA REDONDO

Buenos Aires

Congreso; BASCOLA - Coloquio de Algebra en Buenos Aires; 2005

Universidad de Buenos Aires

For an artin algebra A, the left and the right part of the module category have been defined by Happel, Reiten and Smalo, and have been used successfully to study the representation theory of quasi-tilted algebras, shod, weakly shod and laura algebras.  By definition, an indecomposable module M is in the left (right) part of the module category if all its predecessors (successors, respectively) have projective dimension at most one.  In a joint work with I. Assem and M. Lanzilotta we show that it is enough to consider "immediate" predecessors (successors, respectively). Finally, using the skew group algebras theory, we exhibit several families of weakly shod and laura algebras.