The Auslander-Reiten quiver of Cn.

CHAIO, CLAUDIA, PRATTI ISABEL AND SOUTO SALORIO M.J.

Goiania

Encuentro; Encuentro Sudamericano de Representaciones de Algebras; 2011

Let H be a hereditary algebra. We denote by mod A the category of all the finitely generated right A-modules and by proj A the full subcategory of mod A consisting of all the finitely generated projective A-modules for A an artin algebra. We consider C_n(proj A) the full subcategory of C(mod A) whose objects are the complexes X = (X^i,d^i_x)_{i in Z} such that X^i = 0 if i is not in {1, ...,n} and X^i is projective if i is in {1, ...,n}. In this talk, we are going to show how to build the Auslander-Reiten quiver of C_n(proj H) for H a finite-dimensional algebra over an algebraically closed field k and n greater or equal to 2.