The Relation between Tn-Tilting Modules and n-Term Silting Complexes

Abstract : In this paper, we define support Tn-tilting modules over a finite dimensional k-algebra A. We establish a bijection between support Tn-tiltmg 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 T-tilting modules and two-term silting complexes. \textcopyright 2021. All Rights Reserved.