突变有符号异常序列

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2023-09-01 DOI:10.1017/s0017089523000241

Aslak Bakke Buan, Bethany Rose Marsh

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引用次数: 0

摘要

摘要建立了有限维代数$\tau$ -例外序列的一些性质。在之前的一篇论文中，我们建立了有序支持$\tau$ -倾斜模集与完整有符号$\tau$ -例外序列集之间的双射。我们描述了对称群对前者的自然作用所引起的对后者的作用。同样，我们描述了通过Adachi-Iyama-Reiten构造突变相应的有序支持$\tau$ -倾斜模块对$\tau$ -异常序列的影响。

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Mutating signed -exceptional sequences

Abstract We establish some properties of $\tau$ -exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support $\tau$ -tilting modules and the set of complete signed $\tau$ -exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a $\tau$ -exceptional sequence obtained by mutating the corresponding ordered support $\tau$ -tilting module via a construction of Adachi-Iyama-Reiten.

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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.