论文标题
在总稳定性条件下
On total stability conditions for Dynkin quivers
论文作者
论文摘要
我们表明,对于特定方向的dynkin颤抖$ q $ type $ e_7 $,路径代数$ kq $没有$μ= \fracθ{\ dim} $的坡度函数,该函数定义了总稳定性条件。这给了一个猜想的Reineke。
We show that for a Dynkin quiver $Q$ of type $E_7$ with a specific orientation, the path algebra $KQ$ has no slope function of the form $μ=\fracθ{\dim}$ that defines a total stability condition. This gives a counterexample to a conjecture of Reineke.