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arXiv · 2006.06472

Higher Auslander's formula

Ramin Ebrahimi·Alireza Nasr-Isfahani
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Abstract

Let $\mathcal{M}$ be a small $n$-abelian category. We show that the category of finitely presented functors $mod$-$\mathcal{M}$ modulo the subcategory of effaceable functors $mod_0$-$\mathcal{M}$ has an $n$-cluster tilting subcategory which is equivalent to $\mathcal{M}$. This gives a higher-dimensional version of Auslander's formula.

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BibTeXRIS

Ramin Ebrahimi, Alireza Nasr-Isfahani. 2020-06-10. Higher Auslander's formula. https://doi.org/10.1093/imrn%2Frnab219

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