The Relation between tau(n)-Tilting Modules and n-term Silting Complexes

Abstract : In this paper, we define support tau(n)-tilting modules over a finite dimensional k-algebra A. We establish a bijection between support tau(n)-tilting modules and n-term silting complexes in the bounded homotopy category of finitely generated projective A-modules, generalizing the result of Adachi, Iyama and Reiten for support tau-tilting modules and two-term silting complexes.