Wide Subcategories are Semistable
Toshiya Yurikusa
Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan
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Abstract
For an arbitrary finite dimensional algebra , we prove that any wide subcategory of satisfying a certain finiteness condition is -semistable for some stability condition . More generally, we show that wide subcategories of associated with two-term presilting complexes of are semistable. This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.
Cite this article
Toshiya Yurikusa, Wide Subcategories are Semistable. Doc. Math. 23 (2018), pp. 35–47
DOI 10.4171/DM/612