Pre-Projective Parts of Tilting Quivers Over Certain Path Algebras |
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| Authors: | Ryoichi Kase |
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| Institution: | 1. Department of Pure and Applied Mathematics Graduate School of Information Science and Technology , Osaka University , Toyonaka , Osaka , Japan r-kase@cr.math.sci.osaka-u.ac.jp |
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| Abstract: | Happel and Unger defined a partial order on the set of basic tilting modules. We study the poset of basic preprojective tilting modules over path algebras of representation-infinite type. First we will give a criterion for Ext-vanishing for preprojective modules. With the using of this result, we will give combinatorial characterizations of the poset of basic preprojective tilting modules. Finally, we will see the structure of a preprojective part of tilting quivers. |
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| Keywords: | Representations of quivers Tilting modules |
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