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Tilting simply connected algebras
Authors:Ibrahim Assem  Andrzej Skowroński
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
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.
Keywords:
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