A characterization of representation infinite quiver settings

Grzegorz Bobiński
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Abstract

We characterize pairs (Q,d) consisting of a quiver Q and a dimension vector d, such that over a given algebraically closed field k there are infinitely many representations of Q of dimension vector d. We also present an application of this result to the study of algebras with finitely many orbits with respect to the action of (the double product) of the group of units.
一种表征无限颤栗的设定
我们刻画了由一个颤振Q和一个维向量d组成的对(Q,d),使得在给定的代数闭域k上存在维向量d的Q的无限多个表示。我们还将这一结果应用于研究关于单位群的(二重积)作用的具有有限多个轨道的代数。
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