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Higher Auslander's formula
- Source :
- Int. Math. Res. Not., 2022(22) (2022), 18186-18203
- Publication Year :
- 2020
-
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.<br />Comment: arXiv admin note: text overlap with arXiv:2001.01254
Details
- Database :
- arXiv
- Journal :
- Int. Math. Res. Not., 2022(22) (2022), 18186-18203
- Publication Type :
- Report
- Accession number :
- edsarx.2006.06472
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/imrn/rnab219