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arXiv · 1610.08457

Shapes of Auslander-Reiten Triangles

Edson Ribeiro Alvares·Sônia Maria Fernandes·Hernán Giraldo
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Abstract

Our main theorem classifies the Auslander-Reiten triangles according to properties of the morphisms involved. As a consequence, we are able to compute the mapping cone of an irreducible morphism. We finish by showing a technique for constructing the connecting component of the derived category of any tilted algebra. In particular we obtain a technique for constructing the derived category of any tilted algebra of finite representation type.

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BibTeXRIS

Edson Ribeiro Alvares, Sônia Maria Fernandes, Hernán Giraldo. 2016-10-26. Shapes of Auslander-Reiten Triangles. https://arxiv.org/abs/1610.08457

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