In this paper, all 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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 423, 2014, pp. 132–165.
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Zvonareva, A.O. Two-Term Tilting Complexes over Brauer Tree Algebras. J Math Sci 209, 568–587 (2015). https://doi.org/10.1007/s10958-015-2514-2
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DOI: https://doi.org/10.1007/s10958-015-2514-2