Geodesic
Two-term tilting complexes over Brauer tree algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 132-165

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In this paper, two-term tilting complexes over a Brauer tree algebra with multiplicity one are described using a classification of indecomposable two-term partial tilting complexes obtained earlier in a joint paper with M. Antipov. The endomorphism rings of such complexes are computed. 
@article{ZNSL_2014_423_a7,
     author = {A. O. Zvonareva},
     title = {Two-term tilting complexes over {Brauer} tree algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {132--165},
     publisher = {mathdoc},
     volume = {423},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a7/}
}
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A. O. Zvonareva. Two-term tilting complexes over Brauer tree algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 132-165. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a7/