3. Wide Subcategories are Semistable

  • Toshiya Yurikusa Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan


 For an arbitrary finite dimensional algebra $\Lambda$, we prove that any wide subcategory of $\Mod \Lambda$ satisfying a certain finiteness condition is $\theta$-semistable for some stability condition $\theta$. More generally, we show that wide subcategories of $\Mod \Lambda$ associated with two-term presilting complexes of $\Lambda$ are semistable. This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.


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How to Cite
YURIKUSA, Toshiya. 3. Wide Subcategories are Semistable. DOCUMENTA MATHEMATICA, [S.l.], v. 23, p. 35-47, apr. 2018. ISSN 1431-0643. Available at: <https://ojs.elibm.org/index.php/dm/article/view/286>. Date accessed: 23 may 2018. doi: https://doi.org/10.25537/dm.2018v23.35-47.
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