Tilting simply connected algebras |
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Authors: | Ibrahim Assem Andrzej Skowroński |
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Affiliation: | 1. Département de Mathematiques et Informatique , Universite de Shetbrooke , Sherbrooke, Quebec, JIK 2R1, Canada;2. Institute of Mathematics Nicholas Copernicus University , Chopina 12/18, Touń, 87-100, Poland |
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Abstract: | ![]() Let A be a representation-finite simply connected algebra, and TAbe an arbitrary tilting module (in the sense of Happei and Ringel). We show that B = End TA satisfies the separation condition of Bautista, Larrion and Salmeron. This implies that B is also simply connected. |
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