论文标题

silting鼠的对称性

A symmetry of silting quivers

论文作者

Aihara, Takuma, Wang, Qi

论文摘要

我们研究了给定代数的淤积颤抖的对称性,该代数是由代数的抗自动形态诱导的。特别是,一个人表明,如果有一个由反自动形态固定的原始愿望,则2造颤抖($ = $ support $τ$ - tilting Quiver)具有分配。因此,在这种情况下,我们获得了2张箭量的基数是一个偶数数字(如果是有限的,则是偶数。

We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idempotent fixed by the anti-automorphism, then the 2-silting quiver ($=$ the support $τ$-tilting quiver) has a bisection. Consequently, in that case, we obtain that the cardinality of the 2-silting quiver is an even number (if it is finite).

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