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Higher Nakayama algebras I: Construction. (arXiv:1604.03500v3 [math.RT] UPDATED)
来源于:arXiv
We introduce higher dimensional analogues of the Nakayama algebras from the
viewpoint of Iyama's higher Auslander--Reiten theory. More precisely, for each
Nakayama algebra $A$ and each positive integer $d$, we construct a finite
dimensional algebra $A^{(d)}$ having a distinguished $d$-cluster-tilting
$A^{(d)}$-module whose endomorphism algebra is a higher dimensional analogue of
the Auslander algebra of $A$. We also construct higher dimensional analogues of
the mesh category of type $\mathbb{ZA}_\infty$ and the tubes. 查看全文>>