A symmetry of silting quivers

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2022-05-01 DOI:10.1017/S0017089523000204

T. Aihara, Qi Wang

引用次数: 2

Abstract

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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淤积颤动的对称性

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）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.