论文标题
较高的澳大利亚公式
Higher Auslander's formula
论文作者
论文摘要
令$ \ Mathcal {M} $为小$ n $ -Abelian类别。我们表明，有限呈现的函数的类别$ mod $ - $ \ nathcal {m} $ modulo eStable functors的子类别$ mod_0 $ - $ \ mathcal {m mathcal {m mathcal {m}具有$ n $ - cluster倾斜子类别，相当于$ \ \ mathcal {m mathcal {m {m} $。这给出了Auslander公式的更高维度。
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.
