Wide subcategories are semistable
type: Item
instance of: scholarly article
title: Wide subcategories are semistable
zbMATH Open document ID: 1420.16009
author: Toshiya Yurikusa
published in: Documenta Mathematica
publication date: 2018-05-30T00:00:00Z
review text: Summary: For an arbitrary finite dimensional algebra \(\Lambda\), we prove that any wide subcategory of \(\mathsf{mod} \Lambda\) satisfying a certain finiteness condition is \(\theta\)-semistable for some stability condition \(\theta\). More generally, we show that wide subcategories of \(\mathsf{mod} \Lambda\) associated with two-term presilting complexes of \(\Lambda\) are semistable. This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 18E40
Mathematics Subject Classification ID: 19A13
zbMATH DE Number: 6876234
zbMATH Keywords: representation theory of finite dimensional algebras
zbMATH Keywords: wide subcategories
zbMATH Keywords: semistable subcategories
zbMATH Keywords: \(\tau\)-tilting theory
MaRDI profile type: Publication
full work available at URL: https://ojs.elibm.org/index.php/dm/article/view/286
OpenAlex ID: W2964329451
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DOI: 10.25537/DM.2018V23.35-47
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description: scientific article; zbMATH DE number 6876234