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A category of wide subcategories
Published 11 Feb 2018 in math.RT and math.RA | (1802.03812v1)
Abstract: An algebra is said to be \emph{$\tau$-tilting finite} provided it has only a finite number of $\tau$-rigid objects up to isomorphism. We associate a category to each such algebra. The objects are the wide subcategories of its category of finite dimensional modules, and the morphisms are indexed by support $\tau$-tilting pairs.
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