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In this paper we describe all indecomposable two-term partial tiltingcomplexes over a Brauer tree algebra with multiplicity 1 using a criterion fora minimal projective presentation of a module to be a partial tilting complex.As an application we describe all two-term tilting complexes over Brauer staralgebra and compute their endomorphism rings.

Two-term partial tilting complexes over Brauer tree algebras