Two-Term Tilting Complexes over Brauer Tree Algebras
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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.
KeywordsNonzero Component Projective Module Endomorphism Ring Triangulate Category Marked Vertex
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- 1.R. Rouquier and A. Zimmermann, “Picard groups for derived module categories,” Proc. London Math. Soc., (3) 87, No. 1, 197–225 (2003).Google Scholar
- 5.T. Adachi, O. Iyama, and I. Reiten, “τ -tilting theory,” to appear in Compos. Math., arXiv:1210.1036, (2012).Google Scholar
- 6.A. Chan, “Two-term tilting complexes of Brauer star algebra and simple-minded systems,” arXiv:1304.5223, (2013).Google Scholar
- 13.D. Happel, “Triangulated Categories in the Representation of Finite Dimensional Algebras,” Cambridge Univ. Press (1988).Google Scholar