淤积颤动的对称性

Pub Date : 2022-05-01 DOI:10.1017/S0017089523000204

T. Aihara, Qi Wang

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引用次数: 2

摘要

摘要我们研究了由代数的一个反自同构引起的给定代数的淤积颤动的对称性。特别地，我们证明了如果存在由反自同构固定的原始幂等元，那么2-倾斜箭袋（$=$支撑$\tau$-倾斜箭袋）具有平分。因此，在这种情况下，我们得到2倾斜颤动的基数是偶数（如果它是有限的）。

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A symmetry of silting quivers

Abstract 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 $\tau$ -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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