Geodesic
Two-term partial tilting complexes over Brauer tree algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 5-25 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we describe all indecomposable two-term partial tilting complexes over a Brauer tree algebra with multiplicity 1 using a criterion for a minimal projective presentation of a module to be a partial tilting complex. As an application we describe all two-term tilting complexes over Brauer star algebra and compute their endomorphism rings. 
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M. A. Antipov; A. O. Zvonareva. Two-term partial tilting complexes over Brauer tree algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 5-25. http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a0/

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