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arXiv · 1802.03812

A category of wide subcategories

Aslak Bakke Buan·Bethany Marsh
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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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Aslak Bakke Buan, Bethany Marsh. 2018-02-11. A category of wide subcategories. https://arxiv.org/abs/1802.03812

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