Geodesic
Wide Subcategories are Semistable
Documenta mathematica, Tome 23 (2018), pp. 35-47
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For an arbitrary finite dimensional algebra Λ, we prove that any wide subcategory of modΛ satisfying a certain finiteness condition is θ-semistable for some stability condition θ. More generally, we show that wide subcategories of modΛ associated with two-term presilting complexes of Λ are semistable. This provides a complement for Ingalls-Thomas-type bijections for finite dimensional algebras.
DOI : 10.4171/dm/612
Classification : 16G10, 18E40, 19A13
Mots-clés : representation theory of finite dimensional algebras, wide subcategories, semistable subcategories, τ-tilting theory 
@article{10_4171_dm_612,
     author = {Toshiya Yurikusa},
     title = {Wide {Subcategories} are {Semistable}},
     journal = {Documenta mathematica},
     pages = {35--47},
     year = {2018},
     volume = {23},
     doi = {10.4171/dm/612},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/612/}
}
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Toshiya Yurikusa. Wide Subcategories are Semistable. Documenta mathematica, Tome 23 (2018), pp. 35-47. doi: 10.4171/dm/612

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