Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras

摘要

Let Lambda be a radical square zero Nakayama algebra with n simple modules and let Gamma be the Auslander algebra of Lambda. Then every indecomposable direct summand of a tilting Gamma-module is either simple or projective. Moreover, if Lambda is self-injective, then the number of tilting Gamma-modules is 2(n); otherwise, the number of tilting Gamma-modules is 2(n-1).