根方零Nakayama代数的Auslander代数上$\tau $-倾斜模的数目

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2022-01-01 DOI:10.4064/cm8474-7-2021

Hanpeng Gao, Zongzhen Xie, Zhaoyong Huang

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引用次数: 0

摘要

让Λn a激进广场零代数中山一起简单modules和ΓnΛ澳洲人是代数》。我们calculate jτ-倾斜Γn j当家》τ-tilting modules号《j s支持ττ-倾斜Γn j》-tilting modules完毕Γn。在社会中,我们证明,以至于有些recurrence关系:确切价值观》从j倾斜Γn j s和jττ- derived是倾斜Γn - j。数学

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On the number of $\tau $-tilting modules over the Auslander algebras of radical square zero Nakayama algebras

Let Λ n be a radical square zero Nakayama algebra with n simple modules and Γ n the Auslander algebra of Λ n . We calculate the number j τ - tilt Γ n j of τ -tilting modules and the number j s τ - tilt Γ n j of support τ -tilting modules over Γ n . In particular, we prove that there are recurrence relations: from which the exact values of j τ - tilt Γ n j and j s τ - tilt Γ n j are derived. Mathematics

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.