Geodesic
Wide Subcategories are Semistable
Documenta mathematica, Tome 23 (2018), pp. 35-47.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 16G10, 18E30, 18E40, 19A13
Keywords: representation theory of finite dimensional algebras, wide subcategories, semistable subcategories, $\tau$-tilting theory 
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     author = {Yurikusa, Toshiya},
     title = {Wide {Subcategories} are {Semistable}},
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Yurikusa, Toshiya. Wide Subcategories are Semistable. Documenta mathematica, Tome 23 (2018), pp. 35-47. http://geodesic.mathdoc.fr/item/DOCMA_2018__23__a60/