Higher Nakayama algebras I: Construction

Gustavo Jasso, Julian Külshammer

Research output: Contribution to journalArticlepeer-review


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 -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 ZA_infinity and the tubes.
Original languageEnglish
Pages (from-to)1139-1200
Number of pages62
JournalAdvances in Mathematics
Publication statusPublished - 2019
Externally publishedYes

Bibliographical note

With an appendix by Julian Külshammer and Chrysostomos Psaroudakis and an appendix by Sondre Kvamme.

Subject classification (UKÄ)

  • Algebra and Logic

Free keywords

  • Auslander–Reiten theory
  • Auslander–Reiten quiver
  • Nakayama algebras
  • Cluster-tilting
  • Homological embedding


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