论文标题
突变签名$τ$ - 除外序列
Mutating signed $τ$-exceptional sequences
论文作者
论文摘要
我们为有限维代数的$τ$ - $τ$的序列建立了一些属性。在较早的论文中，我们在一组有序支持$τ$的模块与完整签名的$τ$ - 外部序列之间建立了两次培养。我们描述了对称群体对后者的作用，这是由于其对前者的自然作用引起的。同样，我们描述了通过通过adachi-iyama-reiten的构造来突变相应有序的支撑$τ$来获得的$τ$效果。
We establish some properties of $τ$-exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support $τ$-tilting modules and the set of complete signed $τ$-exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a $τ$-exceptional sequence obtained by mutating the corresponding ordered support $τ$-tilting module via a construction of Adachi-Iyama-Reiten.
