A symmetry of silting quivers

被引：0
作者：
Aihara, Takuma [1 ]
Wang, Qi [2 ]
机构：
[1] Tokyo Gakugei Univ, Dept Math, Tokyo 1848501, Japan
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
来源：
GLASGOW MATHEMATICAL JOURNAL | 2023年 / 65卷 / 03期
关键词：
silting object; silting mutation; silting quiver; support & tau; -tilting module; -tilting quiver; anti-automorphism; TAU-TILTING MODULES; ALGEBRAS;
D O I：
10.1017/S0017089523000204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 r-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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收藏
页码：687 / 696
页数：10
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